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Finding the Third Proportional to 82,747 and 178,612

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Solution

The third proportional to 82,747 and 178,612 is: 385,539.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,747 : 178,612 = 178,612 : x
  2. Step 2: Convert to fraction form
    82,747/178,612 = 178,612/x
  3. Step 3: Cross multiply
    82,747x = 178,612 × 178,612
  4. Step 4: Simplify right side
    82,747x = 31,902,246,544
  5. Step 5: Solve for x
    x = 31,902,246,544/82,747
  6. Step 6: Final answer
    x = 385,539.62

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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.