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Finding the Third Proportional to 215,322.75 and 330,517.13

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Solution

The third proportional to 215,322.75 and 330,517.13 is: 507,338.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,322.75 : 330,517.13 = 330,517.13 : x
  2. Step 2: Convert to fraction form
    215,322.75/330,517.13 = 330,517.13/x
  3. Step 3: Cross multiply
    215,322.75x = 330,517.13 × 330,517.13
  4. Step 4: Simplify right side
    215,322.75x = 109,241,569,918.27
  5. Step 5: Solve for x
    x = 109,241,569,918.27/215,322.75
  6. Step 6: Final answer
    x = 507,338.73

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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.