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Finding the Third Proportional to 91,683 and 198,810

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Solution

The third proportional to 91,683 and 198,810 is: 431,109.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,683 : 198,810 = 198,810 : x
  2. Step 2: Convert to fraction form
    91,683/198,810 = 198,810/x
  3. Step 3: Cross multiply
    91,683x = 198,810 × 198,810
  4. Step 4: Simplify right side
    91,683x = 39,525,416,100
  5. Step 5: Solve for x
    x = 39,525,416,100/91,683
  6. Step 6: Final answer
    x = 431,109.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.