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Finding the Third Proportional to 215,325 and 330,520.50

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Solution

The third proportional to 215,325 and 330,520.50 is: 507,343.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,325 : 330,520.50 = 330,520.50 : x
  2. Step 2: Convert to fraction form
    215,325/330,520.50 = 330,520.50/x
  3. Step 3: Cross multiply
    215,325x = 330,520.50 × 330,520.50
  4. Step 4: Simplify right side
    215,325x = 109,243,800,920.25
  5. Step 5: Solve for x
    x = 109,243,800,920.25/215,325
  6. Step 6: Final answer
    x = 507,343.79

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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.