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Finding the Third Proportional to 396,859.50 and 598,979.81

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Solution

The third proportional to 396,859.50 and 598,979.81 is: 904,039.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,859.50 : 598,979.81 = 598,979.81 : x
  2. Step 2: Convert to fraction form
    396,859.50/598,979.81 = 598,979.81/x
  3. Step 3: Cross multiply
    396,859.50x = 598,979.81 × 598,979.81
  4. Step 4: Simplify right side
    396,859.50x = 358,776,815,782.54
  5. Step 5: Solve for x
    x = 358,776,815,782.54/396,859.50
  6. Step 6: Final answer
    x = 904,039.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.