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Finding the Third Proportional to 60.12 and 129.36

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Solution

The third proportional to 60.12 and 129.36 is: 278.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.12 : 129.36 = 129.36 : x
  2. Step 2: Convert to fraction form
    60.12/129.36 = 129.36/x
  3. Step 3: Cross multiply
    60.12x = 129.36 × 129.36
  4. Step 4: Simplify right side
    60.12x = 16,733.34
  5. Step 5: Solve for x
    x = 16,733.34/60.12
  6. Step 6: Final answer
    x = 278.35

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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.