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Finding the Third Proportional to 90,777 and 198,780

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Solution

The third proportional to 90,777 and 198,780 is: 435,280.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,777 : 198,780 = 198,780 : x
  2. Step 2: Convert to fraction form
    90,777/198,780 = 198,780/x
  3. Step 3: Cross multiply
    90,777x = 198,780 × 198,780
  4. Step 4: Simplify right side
    90,777x = 39,513,488,400
  5. Step 5: Solve for x
    x = 39,513,488,400/90,777
  6. Step 6: Final answer
    x = 435,280.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.