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Finding the Third Proportional to 123.75 and 141.19

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Solution

The third proportional to 123.75 and 141.19 is: 161.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.75 : 141.19 = 141.19 : x
  2. Step 2: Convert to fraction form
    123.75/141.19 = 141.19/x
  3. Step 3: Cross multiply
    123.75x = 141.19 × 141.19
  4. Step 4: Simplify right side
    123.75x = 19,933.91
  5. Step 5: Solve for x
    x = 19,933.91/123.75
  6. Step 6: Final answer
    x = 161.08

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.