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Finding the Third Proportional to 29.09 and 61.98

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Solution

The third proportional to 29.09 and 61.98 is: 132.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.09 : 61.98 = 61.98 : x
  2. Step 2: Convert to fraction form
    29.09/61.98 = 61.98/x
  3. Step 3: Cross multiply
    29.09x = 61.98 × 61.98
  4. Step 4: Simplify right side
    29.09x = 3,842.06
  5. Step 5: Solve for x
    x = 3,842.06/29.09
  6. Step 6: Final answer
    x = 132.06

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.