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Finding the Third Proportional to 465,782 and 721,431

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Solution

The third proportional to 465,782 and 721,431 is: 1,117,395.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,782 : 721,431 = 721,431 : x
  2. Step 2: Convert to fraction form
    465,782/721,431 = 721,431/x
  3. Step 3: Cross multiply
    465,782x = 721,431 × 721,431
  4. Step 4: Simplify right side
    465,782x = 520,462,687,761
  5. Step 5: Solve for x
    x = 520,462,687,761/465,782
  6. Step 6: Final answer
    x = 1,117,395.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.