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Finding the Third Proportional to 417.09 and 527.91

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Solution

The third proportional to 417.09 and 527.91 is: 668.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.09 : 527.91 = 527.91 : x
  2. Step 2: Convert to fraction form
    417.09/527.91 = 527.91/x
  3. Step 3: Cross multiply
    417.09x = 527.91 × 527.91
  4. Step 4: Simplify right side
    417.09x = 278,685.01
  5. Step 5: Solve for x
    x = 278,685.01/417.09
  6. Step 6: Final answer
    x = 668.16

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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.