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Finding the Third Proportional to 155,245 and 339,549

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Solution

The third proportional to 155,245 and 339,549 is: 742,655.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,245 : 339,549 = 339,549 : x
  2. Step 2: Convert to fraction form
    155,245/339,549 = 339,549/x
  3. Step 3: Cross multiply
    155,245x = 339,549 × 339,549
  4. Step 4: Simplify right side
    155,245x = 115,293,523,401
  5. Step 5: Solve for x
    x = 115,293,523,401/155,245
  6. Step 6: Final answer
    x = 742,655.31

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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.