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Finding the Third Proportional to 465,786 and 721,437

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Solution

The third proportional to 465,786 and 721,437 is: 1,117,404.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,786 : 721,437 = 721,437 : x
  2. Step 2: Convert to fraction form
    465,786/721,437 = 721,437/x
  3. Step 3: Cross multiply
    465,786x = 721,437 × 721,437
  4. Step 4: Simplify right side
    465,786x = 520,471,344,969
  5. Step 5: Solve for x
    x = 520,471,344,969/465,786
  6. Step 6: Final answer
    x = 1,117,404.44

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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.