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Finding the Third Proportional to 61.80 and 134.58

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Solution

The third proportional to 61.80 and 134.58 is: 293.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.80 : 134.58 = 134.58 : x
  2. Step 2: Convert to fraction form
    61.80/134.58 = 134.58/x
  3. Step 3: Cross multiply
    61.80x = 134.58 × 134.58
  4. Step 4: Simplify right side
    61.80x = 18,111.27
  5. Step 5: Solve for x
    x = 18,111.27/61.80
  6. Step 6: Final answer
    x = 293.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.