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Finding the Third Proportional to 247,540 and 371,856

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Solution

The third proportional to 247,540 and 371,856 is: 558,604.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,540 : 371,856 = 371,856 : x
  2. Step 2: Convert to fraction form
    247,540/371,856 = 371,856/x
  3. Step 3: Cross multiply
    247,540x = 371,856 × 371,856
  4. Step 4: Simplify right side
    247,540x = 138,276,884,736
  5. Step 5: Solve for x
    x = 138,276,884,736/247,540
  6. Step 6: Final answer
    x = 558,604.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.