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Finding the Third Proportional to 31.84 and 66.55

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Solution

The third proportional to 31.84 and 66.55 is: 139.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.84 : 66.55 = 66.55 : x
  2. Step 2: Convert to fraction form
    31.84/66.55 = 66.55/x
  3. Step 3: Cross multiply
    31.84x = 66.55 × 66.55
  4. Step 4: Simplify right side
    31.84x = 4,428.49
  5. Step 5: Solve for x
    x = 4,428.49/31.84
  6. Step 6: Final answer
    x = 139.07

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.