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Finding the Third Proportional to 60.12 and 136.05

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Solution

The third proportional to 60.12 and 136.05 is: 307.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.12 : 136.05 = 136.05 : x
  2. Step 2: Convert to fraction form
    60.12/136.05 = 136.05/x
  3. Step 3: Cross multiply
    60.12x = 136.05 × 136.05
  4. Step 4: Simplify right side
    60.12x = 18,510.88
  5. Step 5: Solve for x
    x = 18,510.88/60.12
  6. Step 6: Final answer
    x = 307.91

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.