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Finding the Third Proportional to 42 and 114.13

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Solution

The third proportional to 42 and 114.13 is: 310.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    42 : 114.13 = 114.13 : x
  2. Step 2: Convert to fraction form
    42/114.13 = 114.13/x
  3. Step 3: Cross multiply
    42x = 114.13 × 114.13
  4. Step 4: Simplify right side
    42x = 13,024.52
  5. Step 5: Solve for x
    x = 13,024.52/42
  6. Step 6: Final answer
    x = 310.11

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.