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Finding the Third Proportional to 8,599.50 and 15,315.75

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Solution

The third proportional to 8,599.50 and 15,315.75 is: 27,277.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,599.50 : 15,315.75 = 15,315.75 : x
  2. Step 2: Convert to fraction form
    8,599.50/15,315.75 = 15,315.75/x
  3. Step 3: Cross multiply
    8,599.50x = 15,315.75 × 15,315.75
  4. Step 4: Simplify right side
    8,599.50x = 234,572,198.06
  5. Step 5: Solve for x
    x = 234,572,198.06/8,599.50
  6. Step 6: Final answer
    x = 27,277.42

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.