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Finding the Third Proportional to 81,747 and 176,394

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Solution

The third proportional to 81,747 and 176,394 is: 380,623.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,747 : 176,394 = 176,394 : x
  2. Step 2: Convert to fraction form
    81,747/176,394 = 176,394/x
  3. Step 3: Cross multiply
    81,747x = 176,394 × 176,394
  4. Step 4: Simplify right side
    81,747x = 31,114,843,236
  5. Step 5: Solve for x
    x = 31,114,843,236/81,747
  6. Step 6: Final answer
    x = 380,623.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.