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Finding the Third Proportional to 498,880,380,196 and 1,024,207,862,664

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Solution

The third proportional to 498,880,380,196 and 1,024,207,862,664 is: 2,102,711,967,808.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,880,380,196 : 1,024,207,862,664 = 1,024,207,862,664 : x
  2. Step 2: Convert to fraction form
    498,880,380,196/1,024,207,862,664 = 1,024,207,862,664/x
  3. Step 3: Cross multiply
    498,880,380,196x = 1,024,207,862,664 × 1,024,207,862,664
  4. Step 4: Simplify right side
    498,880,380,196x = 1,049,001,745,942,759,100,907,520
  5. Step 5: Solve for x
    x = 1,049,001,745,942,759,100,907,520/498,880,380,196
  6. Step 6: Final answer
    x = 2,102,711,967,808.05

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.