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Finding the Third Proportional to 212,778.38 and 329,913.56

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Solution

The third proportional to 212,778.38 and 329,913.56 is: 511,532.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,778.38 : 329,913.56 = 329,913.56 : x
  2. Step 2: Convert to fraction form
    212,778.38/329,913.56 = 329,913.56/x
  3. Step 3: Cross multiply
    212,778.38x = 329,913.56 × 329,913.56
  4. Step 4: Simplify right side
    212,778.38x = 108,842,958,721.44
  5. Step 5: Solve for x
    x = 108,842,958,721.44/212,778.38
  6. Step 6: Final answer
    x = 511,532.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.