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Finding the Third Proportional to 81,351 and 190,057.50

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Solution

The third proportional to 81,351 and 190,057.50 is: 444,024.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,351 : 190,057.50 = 190,057.50 : x
  2. Step 2: Convert to fraction form
    81,351/190,057.50 = 190,057.50/x
  3. Step 3: Cross multiply
    81,351x = 190,057.50 × 190,057.50
  4. Step 4: Simplify right side
    81,351x = 36,121,853,306.25
  5. Step 5: Solve for x
    x = 36,121,853,306.25/81,351
  6. Step 6: Final answer
    x = 444,024.70

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.