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Finding the Third Proportional to 81,965 and 125,328

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Solution

The third proportional to 81,965 and 125,328 is: 191,631.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,965 : 125,328 = 125,328 : x
  2. Step 2: Convert to fraction form
    81,965/125,328 = 125,328/x
  3. Step 3: Cross multiply
    81,965x = 125,328 × 125,328
  4. Step 4: Simplify right side
    81,965x = 15,707,107,584
  5. Step 5: Solve for x
    x = 15,707,107,584/81,965
  6. Step 6: Final answer
    x = 191,631.89

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.