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Finding the Third Proportional to 62.11 and 142.74

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Solution

The third proportional to 62.11 and 142.74 is: 328.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.11 : 142.74 = 142.74 : x
  2. Step 2: Convert to fraction form
    62.11/142.74 = 142.74/x
  3. Step 3: Cross multiply
    62.11x = 142.74 × 142.74
  4. Step 4: Simplify right side
    62.11x = 20,374.36
  5. Step 5: Solve for x
    x = 20,374.36/62.11
  6. Step 6: Final answer
    x = 328.01

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.