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Finding the Third Proportional to 259,398 and 558,819

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Solution

The third proportional to 259,398 and 558,819 is: 1,203,859.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,398 : 558,819 = 558,819 : x
  2. Step 2: Convert to fraction form
    259,398/558,819 = 558,819/x
  3. Step 3: Cross multiply
    259,398x = 558,819 × 558,819
  4. Step 4: Simplify right side
    259,398x = 312,278,674,761
  5. Step 5: Solve for x
    x = 312,278,674,761/259,398
  6. Step 6: Final answer
    x = 1,203,859.22

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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.