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Finding the Third Proportional to 13,249.50 and 28,990

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Solution

The third proportional to 13,249.50 and 28,990 is: 63,430.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,249.50 : 28,990 = 28,990 : x
  2. Step 2: Convert to fraction form
    13,249.50/28,990 = 28,990/x
  3. Step 3: Cross multiply
    13,249.50x = 28,990 × 28,990
  4. Step 4: Simplify right side
    13,249.50x = 840,420,100
  5. Step 5: Solve for x
    x = 840,420,100/13,249.50
  6. Step 6: Final answer
    x = 63,430.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.