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Finding the Third Proportional to 91,376 and 198,272

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Solution

The third proportional to 91,376 and 198,272 is: 430,220.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,376 : 198,272 = 198,272 : x
  2. Step 2: Convert to fraction form
    91,376/198,272 = 198,272/x
  3. Step 3: Cross multiply
    91,376x = 198,272 × 198,272
  4. Step 4: Simplify right side
    91,376x = 39,311,785,984
  5. Step 5: Solve for x
    x = 39,311,785,984/91,376
  6. Step 6: Final answer
    x = 430,220.04

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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.