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Finding the Third Proportional to 523.38 and 785.13

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Solution

The third proportional to 523.38 and 785.13 is: 1,177.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.38 : 785.13 = 785.13 : x
  2. Step 2: Convert to fraction form
    523.38/785.13 = 785.13/x
  3. Step 3: Cross multiply
    523.38x = 785.13 × 785.13
  4. Step 4: Simplify right side
    523.38x = 616,421.27
  5. Step 5: Solve for x
    x = 616,421.27/523.38
  6. Step 6: Final answer
    x = 1,177.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.