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Finding the Third Proportional to 247,706 and 527,380

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Solution

The third proportional to 247,706 and 527,380 is: 1,122,821.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,706 : 527,380 = 527,380 : x
  2. Step 2: Convert to fraction form
    247,706/527,380 = 527,380/x
  3. Step 3: Cross multiply
    247,706x = 527,380 × 527,380
  4. Step 4: Simplify right side
    247,706x = 278,129,664,400
  5. Step 5: Solve for x
    x = 278,129,664,400/247,706
  6. Step 6: Final answer
    x = 1,122,821.67

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.