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Finding the Third Proportional to 142,348 and 306,134

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Solution

The third proportional to 142,348 and 306,134 is: 658,372.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,348 : 306,134 = 306,134 : x
  2. Step 2: Convert to fraction form
    142,348/306,134 = 306,134/x
  3. Step 3: Cross multiply
    142,348x = 306,134 × 306,134
  4. Step 4: Simplify right side
    142,348x = 93,718,025,956
  5. Step 5: Solve for x
    x = 93,718,025,956/142,348
  6. Step 6: Final answer
    x = 658,372.62

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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.