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Finding the Third Proportional to 124,628,746.50 and 288,492,981.75

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Solution

The third proportional to 124,628,746.50 and 288,492,981.75 is: 667,809,015.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,628,746.50 : 288,492,981.75 = 288,492,981.75 : x
  2. Step 2: Convert to fraction form
    124,628,746.50/288,492,981.75 = 288,492,981.75/x
  3. Step 3: Cross multiply
    124,628,746.50x = 288,492,981.75 × 288,492,981.75
  4. Step 4: Simplify right side
    124,628,746.50x = 83,228,200,519,005,840
  5. Step 5: Solve for x
    x = 83,228,200,519,005,840/124,628,746.50
  6. Step 6: Final answer
    x = 667,809,015.63

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.