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Finding the Third Proportional to 411,677.12 and 642,414.16

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Solution

The third proportional to 411,677.12 and 642,414.16 is: 1,002,474.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,677.12 : 642,414.16 = 642,414.16 : x
  2. Step 2: Convert to fraction form
    411,677.12/642,414.16 = 642,414.16/x
  3. Step 3: Cross multiply
    411,677.12x = 642,414.16 × 642,414.16
  4. Step 4: Simplify right side
    411,677.12x = 412,695,958,188.12
  5. Step 5: Solve for x
    x = 412,695,958,188.12/411,677.12
  6. Step 6: Final answer
    x = 1,002,474.85

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.