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Finding the Third Proportional to 60.28 and 128.62

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Solution

The third proportional to 60.28 and 128.62 is: 274.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.28 : 128.62 = 128.62 : x
  2. Step 2: Convert to fraction form
    60.28/128.62 = 128.62/x
  3. Step 3: Cross multiply
    60.28x = 128.62 × 128.62
  4. Step 4: Simplify right side
    60.28x = 16,542.88
  5. Step 5: Solve for x
    x = 16,542.88/60.28
  6. Step 6: Final answer
    x = 274.46

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.