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Finding the Third Proportional to 259,486 and 558,986

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Solution

The third proportional to 259,486 and 558,986 is: 1,204,170.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,486 : 558,986 = 558,986 : x
  2. Step 2: Convert to fraction form
    259,486/558,986 = 558,986/x
  3. Step 3: Cross multiply
    259,486x = 558,986 × 558,986
  4. Step 4: Simplify right side
    259,486x = 312,465,348,196
  5. Step 5: Solve for x
    x = 312,465,348,196/259,486
  6. Step 6: Final answer
    x = 1,204,170.35

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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.