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Finding the Third Proportional to 465,624 and 721,234

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Solution

The third proportional to 465,624 and 721,234 is: 1,117,164.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,624 : 721,234 = 721,234 : x
  2. Step 2: Convert to fraction form
    465,624/721,234 = 721,234/x
  3. Step 3: Cross multiply
    465,624x = 721,234 × 721,234
  4. Step 4: Simplify right side
    465,624x = 520,178,482,756
  5. Step 5: Solve for x
    x = 520,178,482,756/465,624
  6. Step 6: Final answer
    x = 1,117,164.24

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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.