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Finding the Third Proportional to 282,707 and 396,211

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Solution

The third proportional to 282,707 and 396,211 is: 555,285.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,707 : 396,211 = 396,211 : x
  2. Step 2: Convert to fraction form
    282,707/396,211 = 396,211/x
  3. Step 3: Cross multiply
    282,707x = 396,211 × 396,211
  4. Step 4: Simplify right side
    282,707x = 156,983,156,521
  5. Step 5: Solve for x
    x = 156,983,156,521/282,707
  6. Step 6: Final answer
    x = 555,285.71

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.