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Finding the Third Proportional to 381,159.75 and 561,180

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Solution

The third proportional to 381,159.75 and 561,180 is: 826,223.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,159.75 : 561,180 = 561,180 : x
  2. Step 2: Convert to fraction form
    381,159.75/561,180 = 561,180/x
  3. Step 3: Cross multiply
    381,159.75x = 561,180 × 561,180
  4. Step 4: Simplify right side
    381,159.75x = 314,922,992,400
  5. Step 5: Solve for x
    x = 314,922,992,400/381,159.75
  6. Step 6: Final answer
    x = 826,223.11

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.