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Finding the Third Proportional to 142.07 and 220.11

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Solution

The third proportional to 142.07 and 220.11 is: 341.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.07 : 220.11 = 220.11 : x
  2. Step 2: Convert to fraction form
    142.07/220.11 = 220.11/x
  3. Step 3: Cross multiply
    142.07x = 220.11 × 220.11
  4. Step 4: Simplify right side
    142.07x = 48,449.86
  5. Step 5: Solve for x
    x = 48,449.86/142.07
  6. Step 6: Final answer
    x = 341.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.