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Finding the Third Proportional to 142.38 and 306.60

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Solution

The third proportional to 142.38 and 306.60 is: 660.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.38 : 306.60 = 306.60 : x
  2. Step 2: Convert to fraction form
    142.38/306.60 = 306.60/x
  3. Step 3: Cross multiply
    142.38x = 306.60 × 306.60
  4. Step 4: Simplify right side
    142.38x = 94,002.12
  5. Step 5: Solve for x
    x = 94,002.12/142.38
  6. Step 6: Final answer
    x = 660.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.