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Finding the Third Proportional to 259,789.78 and 558,262.13

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Solution

The third proportional to 259,789.78 and 558,262.13 is: 1,199,649.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,789.78 : 558,262.13 = 558,262.13 : x
  2. Step 2: Convert to fraction form
    259,789.78/558,262.13 = 558,262.13/x
  3. Step 3: Cross multiply
    259,789.78x = 558,262.13 × 558,262.13
  4. Step 4: Simplify right side
    259,789.78x = 311,656,600,209.52
  5. Step 5: Solve for x
    x = 311,656,600,209.52/259,789.78
  6. Step 6: Final answer
    x = 1,199,649.19

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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.