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Finding the Third Proportional to 247,990 and 540,266

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Solution

The third proportional to 247,990 and 540,266 is: 1,177,012.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,990 : 540,266 = 540,266 : x
  2. Step 2: Convert to fraction form
    247,990/540,266 = 540,266/x
  3. Step 3: Cross multiply
    247,990x = 540,266 × 540,266
  4. Step 4: Simplify right side
    247,990x = 291,887,350,756
  5. Step 5: Solve for x
    x = 291,887,350,756/247,990
  6. Step 6: Final answer
    x = 1,177,012.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.