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Finding the Third Proportional to 91,125 and 198,605.25

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Solution

The third proportional to 91,125 and 198,605.25 is: 432,856.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,125 : 198,605.25 = 198,605.25 : x
  2. Step 2: Convert to fraction form
    91,125/198,605.25 = 198,605.25/x
  3. Step 3: Cross multiply
    91,125x = 198,605.25 × 198,605.25
  4. Step 4: Simplify right side
    91,125x = 39,444,045,327.56
  5. Step 5: Solve for x
    x = 39,444,045,327.56/91,125
  6. Step 6: Final answer
    x = 432,856.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.