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Finding the Third Proportional to 92,044.69 and 198,613.69

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Solution

The third proportional to 92,044.69 and 198,613.69 is: 428,567.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,044.69 : 198,613.69 = 198,613.69 : x
  2. Step 2: Convert to fraction form
    92,044.69/198,613.69 = 198,613.69/x
  3. Step 3: Cross multiply
    92,044.69x = 198,613.69 × 198,613.69
  4. Step 4: Simplify right side
    92,044.69x = 39,447,396,862.35
  5. Step 5: Solve for x
    x = 39,447,396,862.35/92,044.69
  6. Step 6: Final answer
    x = 428,567.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.