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Finding the Third Proportional to 219,179.25 and 330,216.75

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Solution

The third proportional to 219,179.25 and 330,216.75 is: 497,506.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,179.25 : 330,216.75 = 330,216.75 : x
  2. Step 2: Convert to fraction form
    219,179.25/330,216.75 = 330,216.75/x
  3. Step 3: Cross multiply
    219,179.25x = 330,216.75 × 330,216.75
  4. Step 4: Simplify right side
    219,179.25x = 109,043,101,980.56
  5. Step 5: Solve for x
    x = 109,043,101,980.56/219,179.25
  6. Step 6: Final answer
    x = 497,506.50

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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.