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Finding the Third Proportional to 42.13 and 57.13

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Solution

The third proportional to 42.13 and 57.13 is: 77.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.13 : 57.13 = 57.13 : x
  2. Step 2: Convert to fraction form
    42.13/57.13 = 57.13/x
  3. Step 3: Cross multiply
    42.13x = 57.13 × 57.13
  4. Step 4: Simplify right side
    42.13x = 3,263.27
  5. Step 5: Solve for x
    x = 3,263.27/42.13
  6. Step 6: Final answer
    x = 77.47

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.