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Finding the Third Proportional to 259,792 and 558,266

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Solution

The third proportional to 259,792 and 558,266 is: 1,199,655.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,792 : 558,266 = 558,266 : x
  2. Step 2: Convert to fraction form
    259,792/558,266 = 558,266/x
  3. Step 3: Cross multiply
    259,792x = 558,266 × 558,266
  4. Step 4: Simplify right side
    259,792x = 311,660,926,756
  5. Step 5: Solve for x
    x = 311,660,926,756/259,792
  6. Step 6: Final answer
    x = 1,199,655.60

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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.