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Finding the Third Proportional to 81,389.50 and 122,001

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Solution

The third proportional to 81,389.50 and 122,001 is: 182,876.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,389.50 : 122,001 = 122,001 : x
  2. Step 2: Convert to fraction form
    81,389.50/122,001 = 122,001/x
  3. Step 3: Cross multiply
    81,389.50x = 122,001 × 122,001
  4. Step 4: Simplify right side
    81,389.50x = 14,884,244,001
  5. Step 5: Solve for x
    x = 14,884,244,001/81,389.50
  6. Step 6: Final answer
    x = 182,876.71

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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.