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Finding the Third Proportional to 8,023.50 and 11,720.25

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Solution

The third proportional to 8,023.50 and 11,720.25 is: 17,120.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,023.50 : 11,720.25 = 11,720.25 : x
  2. Step 2: Convert to fraction form
    8,023.50/11,720.25 = 11,720.25/x
  3. Step 3: Cross multiply
    8,023.50x = 11,720.25 × 11,720.25
  4. Step 4: Simplify right side
    8,023.50x = 137,364,260.06
  5. Step 5: Solve for x
    x = 137,364,260.06/8,023.50
  6. Step 6: Final answer
    x = 17,120.24

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.