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Finding the Third Proportional to 220,737 and 491,439

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Solution

The third proportional to 220,737 and 491,439 is: 1,094,117.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,737 : 491,439 = 491,439 : x
  2. Step 2: Convert to fraction form
    220,737/491,439 = 491,439/x
  3. Step 3: Cross multiply
    220,737x = 491,439 × 491,439
  4. Step 4: Simplify right side
    220,737x = 241,512,290,721
  5. Step 5: Solve for x
    x = 241,512,290,721/220,737
  6. Step 6: Final answer
    x = 1,094,117.84

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.