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Finding the Third Proportional to 102.42 and 143.91

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Solution

The third proportional to 102.42 and 143.91 is: 202.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.42 : 143.91 = 143.91 : x
  2. Step 2: Convert to fraction form
    102.42/143.91 = 143.91/x
  3. Step 3: Cross multiply
    102.42x = 143.91 × 143.91
  4. Step 4: Simplify right side
    102.42x = 20,709.01
  5. Step 5: Solve for x
    x = 20,709.01/102.42
  6. Step 6: Final answer
    x = 202.19

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.