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Finding the Third Proportional to 938.38 and 1,085.13

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Solution

The third proportional to 938.38 and 1,085.13 is: 1,254.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.38 : 1,085.13 = 1,085.13 : x
  2. Step 2: Convert to fraction form
    938.38/1,085.13 = 1,085.13/x
  3. Step 3: Cross multiply
    938.38x = 1,085.13 × 1,085.13
  4. Step 4: Simplify right side
    938.38x = 1,177,496.27
  5. Step 5: Solve for x
    x = 1,177,496.27/938.38
  6. Step 6: Final answer
    x = 1,254.82

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.