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Finding the Third Proportional to 91,972.97 and 198,457.59

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Solution

The third proportional to 91,972.97 and 198,457.59 is: 428,228.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,972.97 : 198,457.59 = 198,457.59 : x
  2. Step 2: Convert to fraction form
    91,972.97/198,457.59 = 198,457.59/x
  3. Step 3: Cross multiply
    91,972.97x = 198,457.59 × 198,457.59
  4. Step 4: Simplify right side
    91,972.97x = 39,385,416,517.04
  5. Step 5: Solve for x
    x = 39,385,416,517.04/91,972.97
  6. Step 6: Final answer
    x = 428,228.17

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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.