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Finding the Third Proportional to 212,002.31 and 323,812.69

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Solution

The third proportional to 212,002.31 and 323,812.69 is: 494,592.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,002.31 : 323,812.69 = 323,812.69 : x
  2. Step 2: Convert to fraction form
    212,002.31/323,812.69 = 323,812.69/x
  3. Step 3: Cross multiply
    212,002.31x = 323,812.69 × 323,812.69
  4. Step 4: Simplify right side
    212,002.31x = 104,854,656,585.97
  5. Step 5: Solve for x
    x = 104,854,656,585.97/212,002.31
  6. Step 6: Final answer
    x = 494,592.04

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.