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Finding the Third Proportional to 247,680 and 393,618.38

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Solution

The third proportional to 247,680 and 393,618.38 is: 625,546.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,680 : 393,618.38 = 393,618.38 : x
  2. Step 2: Convert to fraction form
    247,680/393,618.38 = 393,618.38/x
  3. Step 3: Cross multiply
    247,680x = 393,618.38 × 393,618.38
  4. Step 4: Simplify right side
    247,680x = 154,935,425,137.64
  5. Step 5: Solve for x
    x = 154,935,425,137.64/247,680
  6. Step 6: Final answer
    x = 625,546.77

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.