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Finding the Third Proportional to 60.68 and 130.57

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Solution

The third proportional to 60.68 and 130.57 is: 280.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.68 : 130.57 = 130.57 : x
  2. Step 2: Convert to fraction form
    60.68/130.57 = 130.57/x
  3. Step 3: Cross multiply
    60.68x = 130.57 × 130.57
  4. Step 4: Simplify right side
    60.68x = 17,048.61
  5. Step 5: Solve for x
    x = 17,048.61/60.68
  6. Step 6: Final answer
    x = 280.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.