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Finding the Third Proportional to 255,565.13 and 396,841.78

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Solution

The third proportional to 255,565.13 and 396,841.78 is: 616,216.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,565.13 : 396,841.78 = 396,841.78 : x
  2. Step 2: Convert to fraction form
    255,565.13/396,841.78 = 396,841.78/x
  3. Step 3: Cross multiply
    255,565.13x = 396,841.78 × 396,841.78
  4. Step 4: Simplify right side
    255,565.13x = 157,483,399,345.67
  5. Step 5: Solve for x
    x = 157,483,399,345.67/255,565.13
  6. Step 6: Final answer
    x = 616,216.31

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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.