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Finding the Third Proportional to 155,229 and 339,517

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Solution

The third proportional to 155,229 and 339,517 is: 742,591.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,229 : 339,517 = 339,517 : x
  2. Step 2: Convert to fraction form
    155,229/339,517 = 339,517/x
  3. Step 3: Cross multiply
    155,229x = 339,517 × 339,517
  4. Step 4: Simplify right side
    155,229x = 115,271,793,289
  5. Step 5: Solve for x
    x = 115,271,793,289/155,229
  6. Step 6: Final answer
    x = 742,591.87

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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.