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Finding the Third Proportional to 538.13 and 738.56

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Solution

The third proportional to 538.13 and 738.56 is: 1,013.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.13 : 738.56 = 738.56 : x
  2. Step 2: Convert to fraction form
    538.13/738.56 = 738.56/x
  3. Step 3: Cross multiply
    538.13x = 738.56 × 738.56
  4. Step 4: Simplify right side
    538.13x = 545,474.57
  5. Step 5: Solve for x
    x = 545,474.57/538.13
  6. Step 6: Final answer
    x = 1,013.66

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.