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Finding the Third Proportional to 212,232.66 and 321,082.73

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Solution

The third proportional to 212,232.66 and 321,082.73 is: 485,759.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,232.66 : 321,082.73 = 321,082.73 : x
  2. Step 2: Convert to fraction form
    212,232.66/321,082.73 = 321,082.73/x
  3. Step 3: Cross multiply
    212,232.66x = 321,082.73 × 321,082.73
  4. Step 4: Simplify right side
    212,232.66x = 103,094,122,313.73
  5. Step 5: Solve for x
    x = 103,094,122,313.73/212,232.66
  6. Step 6: Final answer
    x = 485,759.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.