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Finding the Third Proportional to 8,640.75 and 20,233.88

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Solution

The third proportional to 8,640.75 and 20,233.88 is: 47,381.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,640.75 : 20,233.88 = 20,233.88 : x
  2. Step 2: Convert to fraction form
    8,640.75/20,233.88 = 20,233.88/x
  3. Step 3: Cross multiply
    8,640.75x = 20,233.88 × 20,233.88
  4. Step 4: Simplify right side
    8,640.75x = 409,409,697.52
  5. Step 5: Solve for x
    x = 409,409,697.52/8,640.75
  6. Step 6: Final answer
    x = 47,381.27

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.