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Finding the Third Proportional to 91,012.50 and 199,917

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Solution

The third proportional to 91,012.50 and 199,917 is: 439,135.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,012.50 : 199,917 = 199,917 : x
  2. Step 2: Convert to fraction form
    91,012.50/199,917 = 199,917/x
  3. Step 3: Cross multiply
    91,012.50x = 199,917 × 199,917
  4. Step 4: Simplify right side
    91,012.50x = 39,966,806,889
  5. Step 5: Solve for x
    x = 39,966,806,889/91,012.50
  6. Step 6: Final answer
    x = 439,135.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.