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Finding the Third Proportional to 81,394 and 176,370

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Solution

The third proportional to 81,394 and 176,370 is: 382,170.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,394 : 176,370 = 176,370 : x
  2. Step 2: Convert to fraction form
    81,394/176,370 = 176,370/x
  3. Step 3: Cross multiply
    81,394x = 176,370 × 176,370
  4. Step 4: Simplify right side
    81,394x = 31,106,376,900
  5. Step 5: Solve for x
    x = 31,106,376,900/81,394
  6. Step 6: Final answer
    x = 382,170.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.