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Finding the Third Proportional to 247,549 and 371,868

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Solution

The third proportional to 247,549 and 371,868 is: 558,619.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,549 : 371,868 = 371,868 : x
  2. Step 2: Convert to fraction form
    247,549/371,868 = 371,868/x
  3. Step 3: Cross multiply
    247,549x = 371,868 × 371,868
  4. Step 4: Simplify right side
    247,549x = 138,285,809,424
  5. Step 5: Solve for x
    x = 138,285,809,424/247,549
  6. Step 6: Final answer
    x = 558,619.95

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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.