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Finding the Third Proportional to 412,550 and 656,414

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Solution

The third proportional to 412,550 and 656,414 is: 1,044,429.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,550 : 656,414 = 656,414 : x
  2. Step 2: Convert to fraction form
    412,550/656,414 = 656,414/x
  3. Step 3: Cross multiply
    412,550x = 656,414 × 656,414
  4. Step 4: Simplify right side
    412,550x = 430,879,339,396
  5. Step 5: Solve for x
    x = 430,879,339,396/412,550
  6. Step 6: Final answer
    x = 1,044,429.38

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.