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Finding the Third Proportional to 60.78 and 133.37

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Solution

The third proportional to 60.78 and 133.37 is: 292.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.78 : 133.37 = 133.37 : x
  2. Step 2: Convert to fraction form
    60.78/133.37 = 133.37/x
  3. Step 3: Cross multiply
    60.78x = 133.37 × 133.37
  4. Step 4: Simplify right side
    60.78x = 17,788.37
  5. Step 5: Solve for x
    x = 17,788.37/60.78
  6. Step 6: Final answer
    x = 292.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.