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Finding the Third Proportional to 417,660.75 and 636,285.38

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Solution

The third proportional to 417,660.75 and 636,285.38 is: 969,349.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,660.75 : 636,285.38 = 636,285.38 : x
  2. Step 2: Convert to fraction form
    417,660.75/636,285.38 = 636,285.38/x
  3. Step 3: Cross multiply
    417,660.75x = 636,285.38 × 636,285.38
  4. Step 4: Simplify right side
    417,660.75x = 404,859,078,438.89
  5. Step 5: Solve for x
    x = 404,859,078,438.89/417,660.75
  6. Step 6: Final answer
    x = 969,349.12

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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.