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Finding the Third Proportional to 217,135.13 and 329,392.69

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Solution

The third proportional to 217,135.13 and 329,392.69 is: 499,686.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,135.13 : 329,392.69 = 329,392.69 : x
  2. Step 2: Convert to fraction form
    217,135.13/329,392.69 = 329,392.69/x
  3. Step 3: Cross multiply
    217,135.13x = 329,392.69 × 329,392.69
  4. Step 4: Simplify right side
    217,135.13x = 108,499,542,578.47
  5. Step 5: Solve for x
    x = 108,499,542,578.47/217,135.13
  6. Step 6: Final answer
    x = 499,686.74

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.