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Finding the Third Proportional to 71,792 and 166,840

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Solution

The third proportional to 71,792 and 166,840 is: 387,725.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,792 : 166,840 = 166,840 : x
  2. Step 2: Convert to fraction form
    71,792/166,840 = 166,840/x
  3. Step 3: Cross multiply
    71,792x = 166,840 × 166,840
  4. Step 4: Simplify right side
    71,792x = 27,835,585,600
  5. Step 5: Solve for x
    x = 27,835,585,600/71,792
  6. Step 6: Final answer
    x = 387,725.45

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.