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Finding the Third Proportional to 216,761 and 287,692

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Solution

The third proportional to 216,761 and 287,692 is: 381,833.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,761 : 287,692 = 287,692 : x
  2. Step 2: Convert to fraction form
    216,761/287,692 = 287,692/x
  3. Step 3: Cross multiply
    216,761x = 287,692 × 287,692
  4. Step 4: Simplify right side
    216,761x = 82,766,686,864
  5. Step 5: Solve for x
    x = 82,766,686,864/216,761
  6. Step 6: Final answer
    x = 381,833.85

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.