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Finding the Third Proportional to 259,864 and 558,412

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Solution

The third proportional to 259,864 and 558,412 is: 1,199,950.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,864 : 558,412 = 558,412 : x
  2. Step 2: Convert to fraction form
    259,864/558,412 = 558,412/x
  3. Step 3: Cross multiply
    259,864x = 558,412 × 558,412
  4. Step 4: Simplify right side
    259,864x = 311,823,961,744
  5. Step 5: Solve for x
    x = 311,823,961,744/259,864
  6. Step 6: Final answer
    x = 1,199,950.60

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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.