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Finding the Third Proportional to 415.44 and 527.13

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Solution

The third proportional to 415.44 and 527.13 is: 668.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.44 : 527.13 = 527.13 : x
  2. Step 2: Convert to fraction form
    415.44/527.13 = 527.13/x
  3. Step 3: Cross multiply
    415.44x = 527.13 × 527.13
  4. Step 4: Simplify right side
    415.44x = 277,869.00
  5. Step 5: Solve for x
    x = 277,869.00/415.44
  6. Step 6: Final answer
    x = 668.85

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.