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Finding the Third Proportional to 90,777 and 199,472

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Solution

The third proportional to 90,777 and 199,472 is: 438,316.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,777 : 199,472 = 199,472 : x
  2. Step 2: Convert to fraction form
    90,777/199,472 = 199,472/x
  3. Step 3: Cross multiply
    90,777x = 199,472 × 199,472
  4. Step 4: Simplify right side
    90,777x = 39,789,078,784
  5. Step 5: Solve for x
    x = 39,789,078,784/90,777
  6. Step 6: Final answer
    x = 438,316.74

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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.