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Finding the Third Proportional to 546,280,293 and 1,201,522,600

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Solution

The third proportional to 546,280,293 and 1,201,522,600 is: 2,642,702,980.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,280,293 : 1,201,522,600 = 1,201,522,600 : x
  2. Step 2: Convert to fraction form
    546,280,293/1,201,522,600 = 1,201,522,600/x
  3. Step 3: Cross multiply
    546,280,293x = 1,201,522,600 × 1,201,522,600
  4. Step 4: Simplify right side
    546,280,293x = 1,443,656,558,310,759,936
  5. Step 5: Solve for x
    x = 1,443,656,558,310,759,936/546,280,293
  6. Step 6: Final answer
    x = 2,642,702,980.15

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.