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Finding the Third Proportional to 61.12 and 133.58

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Solution

The third proportional to 61.12 and 133.58 is: 291.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.12 : 133.58 = 133.58 : x
  2. Step 2: Convert to fraction form
    61.12/133.58 = 133.58/x
  3. Step 3: Cross multiply
    61.12x = 133.58 × 133.58
  4. Step 4: Simplify right side
    61.12x = 17,842.59
  5. Step 5: Solve for x
    x = 17,842.59/61.12
  6. Step 6: Final answer
    x = 291.93

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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.