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Finding the Third Proportional to 657.70 and 925.59

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Solution

The third proportional to 657.70 and 925.59 is: 1,302.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.70 : 925.59 = 925.59 : x
  2. Step 2: Convert to fraction form
    657.70/925.59 = 925.59/x
  3. Step 3: Cross multiply
    657.70x = 925.59 × 925.59
  4. Step 4: Simplify right side
    657.70x = 856,723.79
  5. Step 5: Solve for x
    x = 856,723.79/657.70
  6. Step 6: Final answer
    x = 1,302.60

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.