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Finding the Third Proportional to 81,648 and 167,688

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Solution

The third proportional to 81,648 and 167,688 is: 344,396.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,648 : 167,688 = 167,688 : x
  2. Step 2: Convert to fraction form
    81,648/167,688 = 167,688/x
  3. Step 3: Cross multiply
    81,648x = 167,688 × 167,688
  4. Step 4: Simplify right side
    81,648x = 28,119,265,344
  5. Step 5: Solve for x
    x = 28,119,265,344/81,648
  6. Step 6: Final answer
    x = 344,396.25

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.