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Finding the Third Proportional to 206,686.69 and 447,628.78

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Solution

The third proportional to 206,686.69 and 447,628.78 is: 969,445.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,686.69 : 447,628.78 = 447,628.78 : x
  2. Step 2: Convert to fraction form
    206,686.69/447,628.78 = 447,628.78/x
  3. Step 3: Cross multiply
    206,686.69x = 447,628.78 × 447,628.78
  4. Step 4: Simplify right side
    206,686.69x = 200,371,525,803.36
  5. Step 5: Solve for x
    x = 200,371,525,803.36/206,686.69
  6. Step 6: Final answer
    x = 969,445.73

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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.