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Finding the Third Proportional to 154,969 and 339,422

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Solution

The third proportional to 154,969 and 339,422 is: 743,421.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,969 : 339,422 = 339,422 : x
  2. Step 2: Convert to fraction form
    154,969/339,422 = 339,422/x
  3. Step 3: Cross multiply
    154,969x = 339,422 × 339,422
  4. Step 4: Simplify right side
    154,969x = 115,207,294,084
  5. Step 5: Solve for x
    x = 115,207,294,084/154,969
  6. Step 6: Final answer
    x = 743,421.55

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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.