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Finding the Third Proportional to 57.13 and 88.54

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Solution

The third proportional to 57.13 and 88.54 is: 137.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.13 : 88.54 = 88.54 : x
  2. Step 2: Convert to fraction form
    57.13/88.54 = 88.54/x
  3. Step 3: Cross multiply
    57.13x = 88.54 × 88.54
  4. Step 4: Simplify right side
    57.13x = 7,840.10
  5. Step 5: Solve for x
    x = 7,840.10/57.13
  6. Step 6: Final answer
    x = 137.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.