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Finding the Third Proportional to 212,719.50 and 323,500.50

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Solution

The third proportional to 212,719.50 and 323,500.50 is: 491,974.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,719.50 : 323,500.50 = 323,500.50 : x
  2. Step 2: Convert to fraction form
    212,719.50/323,500.50 = 323,500.50/x
  3. Step 3: Cross multiply
    212,719.50x = 323,500.50 × 323,500.50
  4. Step 4: Simplify right side
    212,719.50x = 104,652,573,500.25
  5. Step 5: Solve for x
    x = 104,652,573,500.25/212,719.50
  6. Step 6: Final answer
    x = 491,974.52

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.