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Finding the Third Proportional to 81,238 and 164,708

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Solution

The third proportional to 81,238 and 164,708 is: 333,941.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,238 : 164,708 = 164,708 : x
  2. Step 2: Convert to fraction form
    81,238/164,708 = 164,708/x
  3. Step 3: Cross multiply
    81,238x = 164,708 × 164,708
  4. Step 4: Simplify right side
    81,238x = 27,128,725,264
  5. Step 5: Solve for x
    x = 27,128,725,264/81,238
  6. Step 6: Final answer
    x = 333,941.32

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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.