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Finding the Third Proportional to 81,654 and 122,481

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Solution

The third proportional to 81,654 and 122,481 is: 183,721.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,654 : 122,481 = 122,481 : x
  2. Step 2: Convert to fraction form
    81,654/122,481 = 122,481/x
  3. Step 3: Cross multiply
    81,654x = 122,481 × 122,481
  4. Step 4: Simplify right side
    81,654x = 15,001,595,361
  5. Step 5: Solve for x
    x = 15,001,595,361/81,654
  6. Step 6: Final answer
    x = 183,721.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.