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Finding the Third Proportional to 259,722 and 540,228

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Solution

The third proportional to 259,722 and 540,228 is: 1,123,687.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,722 : 540,228 = 540,228 : x
  2. Step 2: Convert to fraction form
    259,722/540,228 = 540,228/x
  3. Step 3: Cross multiply
    259,722x = 540,228 × 540,228
  4. Step 4: Simplify right side
    259,722x = 291,846,291,984
  5. Step 5: Solve for x
    x = 291,846,291,984/259,722
  6. Step 6: Final answer
    x = 1,123,687.22

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.