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Finding the Third Proportional to 81,621.75 and 171,505.88

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Solution

The third proportional to 81,621.75 and 171,505.88 is: 360,372.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,621.75 : 171,505.88 = 171,505.88 : x
  2. Step 2: Convert to fraction form
    81,621.75/171,505.88 = 171,505.88/x
  3. Step 3: Cross multiply
    81,621.75x = 171,505.88 × 171,505.88
  4. Step 4: Simplify right side
    81,621.75x = 29,414,265,159.52
  5. Step 5: Solve for x
    x = 29,414,265,159.52/81,621.75
  6. Step 6: Final answer
    x = 360,372.88

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.