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Finding the Third Proportional to 219,660.19 and 331,359.19

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Solution

The third proportional to 219,660.19 and 331,359.19 is: 499,858.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,660.19 : 331,359.19 = 331,359.19 : x
  2. Step 2: Convert to fraction form
    219,660.19/331,359.19 = 331,359.19/x
  3. Step 3: Cross multiply
    219,660.19x = 331,359.19 × 331,359.19
  4. Step 4: Simplify right side
    219,660.19x = 109,798,911,140.66
  5. Step 5: Solve for x
    x = 109,798,911,140.66/219,660.19
  6. Step 6: Final answer
    x = 499,858.04

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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.