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Finding the Third Proportional to 417,848 and 636,567

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Solution

The third proportional to 417,848 and 636,567 is: 969,772.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,848 : 636,567 = 636,567 : x
  2. Step 2: Convert to fraction form
    417,848/636,567 = 636,567/x
  3. Step 3: Cross multiply
    417,848x = 636,567 × 636,567
  4. Step 4: Simplify right side
    417,848x = 405,217,545,489
  5. Step 5: Solve for x
    x = 405,217,545,489/417,848
  6. Step 6: Final answer
    x = 969,772.61

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.