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Finding the Third Proportional to 90,781 and 199,478

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Solution

The third proportional to 90,781 and 199,478 is: 438,323.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,781 : 199,478 = 199,478 : x
  2. Step 2: Convert to fraction form
    90,781/199,478 = 199,478/x
  3. Step 3: Cross multiply
    90,781x = 199,478 × 199,478
  4. Step 4: Simplify right side
    90,781x = 39,791,472,484
  5. Step 5: Solve for x
    x = 39,791,472,484/90,781
  6. Step 6: Final answer
    x = 438,323.80

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.