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Finding the Third Proportional to 21,193.50 and 28,782

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Solution

The third proportional to 21,193.50 and 28,782 is: 39,087.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,193.50 : 28,782 = 28,782 : x
  2. Step 2: Convert to fraction form
    21,193.50/28,782 = 28,782/x
  3. Step 3: Cross multiply
    21,193.50x = 28,782 × 28,782
  4. Step 4: Simplify right side
    21,193.50x = 828,403,524
  5. Step 5: Solve for x
    x = 828,403,524/21,193.50
  6. Step 6: Final answer
    x = 39,087.62

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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.