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Finding the Third Proportional to 259,941 and 558,561

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Solution

The third proportional to 259,941 and 558,561 is: 1,200,235.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,941 : 558,561 = 558,561 : x
  2. Step 2: Convert to fraction form
    259,941/558,561 = 558,561/x
  3. Step 3: Cross multiply
    259,941x = 558,561 × 558,561
  4. Step 4: Simplify right side
    259,941x = 311,990,390,721
  5. Step 5: Solve for x
    x = 311,990,390,721/259,941
  6. Step 6: Final answer
    x = 1,200,235.40

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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.