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Finding the Third Proportional to 81,864 and 176,283

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Solution

The third proportional to 81,864 and 176,283 is: 379,601.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,864 : 176,283 = 176,283 : x
  2. Step 2: Convert to fraction form
    81,864/176,283 = 176,283/x
  3. Step 3: Cross multiply
    81,864x = 176,283 × 176,283
  4. Step 4: Simplify right side
    81,864x = 31,075,696,089
  5. Step 5: Solve for x
    x = 31,075,696,089/81,864
  6. Step 6: Final answer
    x = 379,601.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.