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Finding the Third Proportional to 206,972 and 312,077

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Solution

The third proportional to 206,972 and 312,077 is: 470,556.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,972 : 312,077 = 312,077 : x
  2. Step 2: Convert to fraction form
    206,972/312,077 = 312,077/x
  3. Step 3: Cross multiply
    206,972x = 312,077 × 312,077
  4. Step 4: Simplify right side
    206,972x = 97,392,053,929
  5. Step 5: Solve for x
    x = 97,392,053,929/206,972
  6. Step 6: Final answer
    x = 470,556.66

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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.