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Finding the Third Proportional to 54,217.50 and 83,439

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Solution

The third proportional to 54,217.50 and 83,439 is: 128,409.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,217.50 : 83,439 = 83,439 : x
  2. Step 2: Convert to fraction form
    54,217.50/83,439 = 83,439/x
  3. Step 3: Cross multiply
    54,217.50x = 83,439 × 83,439
  4. Step 4: Simplify right side
    54,217.50x = 6,962,066,721
  5. Step 5: Solve for x
    x = 6,962,066,721/54,217.50
  6. Step 6: Final answer
    x = 128,409.95

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.