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Finding the Third Proportional to 91,950 and 198,417

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Solution

The third proportional to 91,950 and 198,417 is: 428,159.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,950 : 198,417 = 198,417 : x
  2. Step 2: Convert to fraction form
    91,950/198,417 = 198,417/x
  3. Step 3: Cross multiply
    91,950x = 198,417 × 198,417
  4. Step 4: Simplify right side
    91,950x = 39,369,305,889
  5. Step 5: Solve for x
    x = 39,369,305,889/91,950
  6. Step 6: Final answer
    x = 428,159.93

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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.