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Finding the Third Proportional to 179,781.50 and 391,274.50

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Solution

The third proportional to 179,781.50 and 391,274.50 is: 851,565.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,781.50 : 391,274.50 = 391,274.50 : x
  2. Step 2: Convert to fraction form
    179,781.50/391,274.50 = 391,274.50/x
  3. Step 3: Cross multiply
    179,781.50x = 391,274.50 × 391,274.50
  4. Step 4: Simplify right side
    179,781.50x = 153,095,734,350.25
  5. Step 5: Solve for x
    x = 153,095,734,350.25/179,781.50
  6. Step 6: Final answer
    x = 851,565.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.