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Finding the Third Proportional to 206,574 and 443,280

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Solution

The third proportional to 206,574 and 443,280 is: 951,219.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,574 : 443,280 = 443,280 : x
  2. Step 2: Convert to fraction form
    206,574/443,280 = 443,280/x
  3. Step 3: Cross multiply
    206,574x = 443,280 × 443,280
  4. Step 4: Simplify right side
    206,574x = 196,497,158,400
  5. Step 5: Solve for x
    x = 196,497,158,400/206,574
  6. Step 6: Final answer
    x = 951,219.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.