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Finding the Third Proportional to 255,514 and 396,769

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Solution

The third proportional to 255,514 and 396,769 is: 616,113.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,514 : 396,769 = 396,769 : x
  2. Step 2: Convert to fraction form
    255,514/396,769 = 396,769/x
  3. Step 3: Cross multiply
    255,514x = 396,769 × 396,769
  4. Step 4: Simplify right side
    255,514x = 157,425,639,361
  5. Step 5: Solve for x
    x = 157,425,639,361/255,514
  6. Step 6: Final answer
    x = 616,113.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.