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Finding the Third Proportional to 259,865 and 558,414

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Solution

The third proportional to 259,865 and 558,414 is: 1,199,954.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,865 : 558,414 = 558,414 : x
  2. Step 2: Convert to fraction form
    259,865/558,414 = 558,414/x
  3. Step 3: Cross multiply
    259,865x = 558,414 × 558,414
  4. Step 4: Simplify right side
    259,865x = 311,826,195,396
  5. Step 5: Solve for x
    x = 311,826,195,396/259,865
  6. Step 6: Final answer
    x = 1,199,954.57

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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.