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Finding the Third Proportional to 206,661 and 453,979.50

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Solution

The third proportional to 206,661 and 453,979.50 is: 997,272.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,661 : 453,979.50 = 453,979.50 : x
  2. Step 2: Convert to fraction form
    206,661/453,979.50 = 453,979.50/x
  3. Step 3: Cross multiply
    206,661x = 453,979.50 × 453,979.50
  4. Step 4: Simplify right side
    206,661x = 206,097,386,420.25
  5. Step 5: Solve for x
    x = 206,097,386,420.25/206,661
  6. Step 6: Final answer
    x = 997,272.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.