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Finding the Third Proportional to 219,310.13 and 330,585.38

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Solution

The third proportional to 219,310.13 and 330,585.38 is: 498,320.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,310.13 : 330,585.38 = 330,585.38 : x
  2. Step 2: Convert to fraction form
    219,310.13/330,585.38 = 330,585.38/x
  3. Step 3: Cross multiply
    219,310.13x = 330,585.38 × 330,585.38
  4. Step 4: Simplify right side
    219,310.13x = 109,286,690,163.89
  5. Step 5: Solve for x
    x = 109,286,690,163.89/219,310.13
  6. Step 6: Final answer
    x = 498,320.31

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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.