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Finding the Third Proportional to 206,042 and 311,950

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Solution

The third proportional to 206,042 and 311,950 is: 472,295.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,042 : 311,950 = 311,950 : x
  2. Step 2: Convert to fraction form
    206,042/311,950 = 311,950/x
  3. Step 3: Cross multiply
    206,042x = 311,950 × 311,950
  4. Step 4: Simplify right side
    206,042x = 97,312,802,500
  5. Step 5: Solve for x
    x = 97,312,802,500/206,042
  6. Step 6: Final answer
    x = 472,295.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.