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Finding the Third Proportional to 465,774 and 721,419

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Solution

The third proportional to 465,774 and 721,419 is: 1,117,377.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,774 : 721,419 = 721,419 : x
  2. Step 2: Convert to fraction form
    465,774/721,419 = 721,419/x
  3. Step 3: Cross multiply
    465,774x = 721,419 × 721,419
  4. Step 4: Simplify right side
    465,774x = 520,445,373,561
  5. Step 5: Solve for x
    x = 520,445,373,561/465,774
  6. Step 6: Final answer
    x = 1,117,377.47

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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.