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Finding the Third Proportional to 31.14 and 66.10

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Solution

The third proportional to 31.14 and 66.10 is: 140.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.14 : 66.10 = 66.10 : x
  2. Step 2: Convert to fraction form
    31.14/66.10 = 66.10/x
  3. Step 3: Cross multiply
    31.14x = 66.10 × 66.10
  4. Step 4: Simplify right side
    31.14x = 4,369.55
  5. Step 5: Solve for x
    x = 4,369.55/31.14
  6. Step 6: Final answer
    x = 140.32

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.