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Finding the Third Proportional to 206,769 and 310,236

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Solution

The third proportional to 206,769 and 310,236 is: 465,477.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,769 : 310,236 = 310,236 : x
  2. Step 2: Convert to fraction form
    206,769/310,236 = 310,236/x
  3. Step 3: Cross multiply
    206,769x = 310,236 × 310,236
  4. Step 4: Simplify right side
    206,769x = 96,246,375,696
  5. Step 5: Solve for x
    x = 96,246,375,696/206,769
  6. Step 6: Final answer
    x = 465,477.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.