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Finding the Third Proportional to 466,630 and 721,812

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Solution

The third proportional to 466,630 and 721,812 is: 1,116,543.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,630 : 721,812 = 721,812 : x
  2. Step 2: Convert to fraction form
    466,630/721,812 = 721,812/x
  3. Step 3: Cross multiply
    466,630x = 721,812 × 721,812
  4. Step 4: Simplify right side
    466,630x = 521,012,563,344
  5. Step 5: Solve for x
    x = 521,012,563,344/466,630
  6. Step 6: Final answer
    x = 1,116,543.22

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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.