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Finding the Third Proportional to 142,344 and 306,126

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Solution

The third proportional to 142,344 and 306,126 is: 658,356.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,344 : 306,126 = 306,126 : x
  2. Step 2: Convert to fraction form
    142,344/306,126 = 306,126/x
  3. Step 3: Cross multiply
    142,344x = 306,126 × 306,126
  4. Step 4: Simplify right side
    142,344x = 93,713,127,876
  5. Step 5: Solve for x
    x = 93,713,127,876/142,344
  6. Step 6: Final answer
    x = 658,356.71

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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.