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Finding the Third Proportional to 81,160 and 164,552

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Solution

The third proportional to 81,160 and 164,552 is: 333,629.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,160 : 164,552 = 164,552 : x
  2. Step 2: Convert to fraction form
    81,160/164,552 = 164,552/x
  3. Step 3: Cross multiply
    81,160x = 164,552 × 164,552
  4. Step 4: Simplify right side
    81,160x = 27,077,360,704
  5. Step 5: Solve for x
    x = 27,077,360,704/81,160
  6. Step 6: Final answer
    x = 333,629.38

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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.