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Finding the Third Proportional to 285,104.81 and 398,593.69

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Solution

The third proportional to 285,104.81 and 398,593.69 is: 557,257.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,104.81 : 398,593.69 = 398,593.69 : x
  2. Step 2: Convert to fraction form
    285,104.81/398,593.69 = 398,593.69/x
  3. Step 3: Cross multiply
    285,104.81x = 398,593.69 × 398,593.69
  4. Step 4: Simplify right side
    285,104.81x = 158,876,927,714.85
  5. Step 5: Solve for x
    x = 158,876,927,714.85/285,104.81
  6. Step 6: Final answer
    x = 557,257.97

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.