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Finding the Third Proportional to 58.54 and 87.49

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Solution

The third proportional to 58.54 and 87.49 is: 130.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.54 : 87.49 = 87.49 : x
  2. Step 2: Convert to fraction form
    58.54/87.49 = 87.49/x
  3. Step 3: Cross multiply
    58.54x = 87.49 × 87.49
  4. Step 4: Simplify right side
    58.54x = 7,653.86
  5. Step 5: Solve for x
    x = 7,653.86/58.54
  6. Step 6: Final answer
    x = 130.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.