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Finding the Third Proportional to 263,353.78 and 398,854.13

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Solution

The third proportional to 263,353.78 and 398,854.13 is: 604,071.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,353.78 : 398,854.13 = 398,854.13 : x
  2. Step 2: Convert to fraction form
    263,353.78/398,854.13 = 398,854.13/x
  3. Step 3: Cross multiply
    263,353.78x = 398,854.13 × 398,854.13
  4. Step 4: Simplify right side
    263,353.78x = 159,084,613,029.52
  5. Step 5: Solve for x
    x = 159,084,613,029.52/263,353.78
  6. Step 6: Final answer
    x = 604,071.88

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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.