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Finding the Third Proportional to 155,344 and 339,762

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Solution

The third proportional to 155,344 and 339,762 is: 743,113.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,344 : 339,762 = 339,762 : x
  2. Step 2: Convert to fraction form
    155,344/339,762 = 339,762/x
  3. Step 3: Cross multiply
    155,344x = 339,762 × 339,762
  4. Step 4: Simplify right side
    155,344x = 115,438,216,644
  5. Step 5: Solve for x
    x = 115,438,216,644/155,344
  6. Step 6: Final answer
    x = 743,113.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.