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Finding the Third Proportional to 155,536 and 339,213

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Solution

The third proportional to 155,536 and 339,213 is: 739,799.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,536 : 339,213 = 339,213 : x
  2. Step 2: Convert to fraction form
    155,536/339,213 = 339,213/x
  3. Step 3: Cross multiply
    155,536x = 339,213 × 339,213
  4. Step 4: Simplify right side
    155,536x = 115,065,459,369
  5. Step 5: Solve for x
    x = 115,065,459,369/155,536
  6. Step 6: Final answer
    x = 739,799.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.