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Finding the Third Proportional to 211,990 and 287,866

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Solution

The third proportional to 211,990 and 287,866 is: 390,899.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,990 : 287,866 = 287,866 : x
  2. Step 2: Convert to fraction form
    211,990/287,866 = 287,866/x
  3. Step 3: Cross multiply
    211,990x = 287,866 × 287,866
  4. Step 4: Simplify right side
    211,990x = 82,866,833,956
  5. Step 5: Solve for x
    x = 82,866,833,956/211,990
  6. Step 6: Final answer
    x = 390,899.73

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.