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Finding the Third Proportional to 90,778 and 198,782

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Solution

The third proportional to 90,778 and 198,782 is: 435,284.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,778 : 198,782 = 198,782 : x
  2. Step 2: Convert to fraction form
    90,778/198,782 = 198,782/x
  3. Step 3: Cross multiply
    90,778x = 198,782 × 198,782
  4. Step 4: Simplify right side
    90,778x = 39,514,283,524
  5. Step 5: Solve for x
    x = 39,514,283,524/90,778
  6. Step 6: Final answer
    x = 435,284.80

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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.