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Finding the Third Proportional to 118,820 and 255,496

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Solution

The third proportional to 118,820 and 255,496 is: 549,387.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,820 : 255,496 = 255,496 : x
  2. Step 2: Convert to fraction form
    118,820/255,496 = 255,496/x
  3. Step 3: Cross multiply
    118,820x = 255,496 × 255,496
  4. Step 4: Simplify right side
    118,820x = 65,278,206,016
  5. Step 5: Solve for x
    x = 65,278,206,016/118,820
  6. Step 6: Final answer
    x = 549,387.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.