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Finding the Third Proportional to 260,279 and 393,699

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Solution

The third proportional to 260,279 and 393,699 is: 595,510.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,279 : 393,699 = 393,699 : x
  2. Step 2: Convert to fraction form
    260,279/393,699 = 393,699/x
  3. Step 3: Cross multiply
    260,279x = 393,699 × 393,699
  4. Step 4: Simplify right side
    260,279x = 154,998,902,601
  5. Step 5: Solve for x
    x = 154,998,902,601/260,279
  6. Step 6: Final answer
    x = 595,510.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.