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Finding the Third Proportional to 154,210 and 339,524

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Solution

The third proportional to 154,210 and 339,524 is: 747,529.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,210 : 339,524 = 339,524 : x
  2. Step 2: Convert to fraction form
    154,210/339,524 = 339,524/x
  3. Step 3: Cross multiply
    154,210x = 339,524 × 339,524
  4. Step 4: Simplify right side
    154,210x = 115,276,546,576
  5. Step 5: Solve for x
    x = 115,276,546,576/154,210
  6. Step 6: Final answer
    x = 747,529.65

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.