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Finding the Third Proportional to 91,668 and 198,312

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Solution

The third proportional to 91,668 and 198,312 is: 429,022.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,668 : 198,312 = 198,312 : x
  2. Step 2: Convert to fraction form
    91,668/198,312 = 198,312/x
  3. Step 3: Cross multiply
    91,668x = 198,312 × 198,312
  4. Step 4: Simplify right side
    91,668x = 39,327,649,344
  5. Step 5: Solve for x
    x = 39,327,649,344/91,668
  6. Step 6: Final answer
    x = 429,022.66

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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.