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Finding the Third Proportional to 206,972 and 312,079

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Solution

The third proportional to 206,972 and 312,079 is: 470,562.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,972 : 312,079 = 312,079 : x
  2. Step 2: Convert to fraction form
    206,972/312,079 = 312,079/x
  3. Step 3: Cross multiply
    206,972x = 312,079 × 312,079
  4. Step 4: Simplify right side
    206,972x = 97,393,302,241
  5. Step 5: Solve for x
    x = 97,393,302,241/206,972
  6. Step 6: Final answer
    x = 470,562.70

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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.