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Finding the Third Proportional to 171,780.75 and 398,013.75

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Solution

The third proportional to 171,780.75 and 398,013.75 is: 922,192.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,780.75 : 398,013.75 = 398,013.75 : x
  2. Step 2: Convert to fraction form
    171,780.75/398,013.75 = 398,013.75/x
  3. Step 3: Cross multiply
    171,780.75x = 398,013.75 × 398,013.75
  4. Step 4: Simplify right side
    171,780.75x = 158,414,945,189.06
  5. Step 5: Solve for x
    x = 158,414,945,189.06/171,780.75
  6. Step 6: Final answer
    x = 922,192.65

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.