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Finding the Third Proportional to 83,766 and 197,586

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Solution

The third proportional to 83,766 and 197,586 is: 466,062.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,766 : 197,586 = 197,586 : x
  2. Step 2: Convert to fraction form
    83,766/197,586 = 197,586/x
  3. Step 3: Cross multiply
    83,766x = 197,586 × 197,586
  4. Step 4: Simplify right side
    83,766x = 39,040,227,396
  5. Step 5: Solve for x
    x = 39,040,227,396/83,766
  6. Step 6: Final answer
    x = 466,062.93

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.