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Finding the Third Proportional to 206,422.59 and 447,196.78

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Solution

The third proportional to 206,422.59 and 447,196.78 is: 968,813.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,422.59 : 447,196.78 = 447,196.78 : x
  2. Step 2: Convert to fraction form
    206,422.59/447,196.78 = 447,196.78/x
  3. Step 3: Cross multiply
    206,422.59x = 447,196.78 × 447,196.78
  4. Step 4: Simplify right side
    206,422.59x = 199,984,961,160.36
  5. Step 5: Solve for x
    x = 199,984,961,160.36/206,422.59
  6. Step 6: Final answer
    x = 968,813.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.