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Finding the Third Proportional to 81,124 and 168,452

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Solution

The third proportional to 81,124 and 168,452 is: 349,786.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,124 : 168,452 = 168,452 : x
  2. Step 2: Convert to fraction form
    81,124/168,452 = 168,452/x
  3. Step 3: Cross multiply
    81,124x = 168,452 × 168,452
  4. Step 4: Simplify right side
    81,124x = 28,376,076,304
  5. Step 5: Solve for x
    x = 28,376,076,304/81,124
  6. Step 6: Final answer
    x = 349,786.45

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.