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Finding the Third Proportional to 81,274 and 177,332

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Solution

The third proportional to 81,274 and 177,332 is: 386,921.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,274 : 177,332 = 177,332 : x
  2. Step 2: Convert to fraction form
    81,274/177,332 = 177,332/x
  3. Step 3: Cross multiply
    81,274x = 177,332 × 177,332
  4. Step 4: Simplify right side
    81,274x = 31,446,638,224
  5. Step 5: Solve for x
    x = 31,446,638,224/81,274
  6. Step 6: Final answer
    x = 386,921.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.