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Finding the Third Proportional to 81,541.75 and 165,376

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Solution

The third proportional to 81,541.75 and 165,376 is: 335,401.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,541.75 : 165,376 = 165,376 : x
  2. Step 2: Convert to fraction form
    81,541.75/165,376 = 165,376/x
  3. Step 3: Cross multiply
    81,541.75x = 165,376 × 165,376
  4. Step 4: Simplify right side
    81,541.75x = 27,349,221,376
  5. Step 5: Solve for x
    x = 27,349,221,376/81,541.75
  6. Step 6: Final answer
    x = 335,401.45

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.