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Finding the Third Proportional to 54,190 and 81,287

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Solution

The third proportional to 54,190 and 81,287 is: 121,933.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,190 : 81,287 = 81,287 : x
  2. Step 2: Convert to fraction form
    54,190/81,287 = 81,287/x
  3. Step 3: Cross multiply
    54,190x = 81,287 × 81,287
  4. Step 4: Simplify right side
    54,190x = 6,607,576,369
  5. Step 5: Solve for x
    x = 6,607,576,369/54,190
  6. Step 6: Final answer
    x = 121,933.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.