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Finding the Third Proportional to 91,440 and 195,561

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Solution

The third proportional to 91,440 and 195,561 is: 418,242.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,440 : 195,561 = 195,561 : x
  2. Step 2: Convert to fraction form
    91,440/195,561 = 195,561/x
  3. Step 3: Cross multiply
    91,440x = 195,561 × 195,561
  4. Step 4: Simplify right side
    91,440x = 38,244,104,721
  5. Step 5: Solve for x
    x = 38,244,104,721/91,440
  6. Step 6: Final answer
    x = 418,242.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.