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Finding the Third Proportional to 721,416 and 1,558,446

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Solution

The third proportional to 721,416 and 1,558,446 is: 3,366,648.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,416 : 1,558,446 = 1,558,446 : x
  2. Step 2: Convert to fraction form
    721,416/1,558,446 = 1,558,446/x
  3. Step 3: Cross multiply
    721,416x = 1,558,446 × 1,558,446
  4. Step 4: Simplify right side
    721,416x = 2,428,753,934,916
  5. Step 5: Solve for x
    x = 2,428,753,934,916/721,416
  6. Step 6: Final answer
    x = 3,366,648.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.