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Finding the Third Proportional to 415,854 and 661,107

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Solution

The third proportional to 415,854 and 661,107 is: 1,050,999.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,854 : 661,107 = 661,107 : x
  2. Step 2: Convert to fraction form
    415,854/661,107 = 661,107/x
  3. Step 3: Cross multiply
    415,854x = 661,107 × 661,107
  4. Step 4: Simplify right side
    415,854x = 437,062,465,449
  5. Step 5: Solve for x
    x = 437,062,465,449/415,854
  6. Step 6: Final answer
    x = 1,050,999.79

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.