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Finding the Third Proportional to 58.97 and 86.16

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Solution

The third proportional to 58.97 and 86.16 is: 125.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.97 : 86.16 = 86.16 : x
  2. Step 2: Convert to fraction form
    58.97/86.16 = 86.16/x
  3. Step 3: Cross multiply
    58.97x = 86.16 × 86.16
  4. Step 4: Simplify right side
    58.97x = 7,422.90
  5. Step 5: Solve for x
    x = 7,422.90/58.97
  6. Step 6: Final answer
    x = 125.88

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.