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Finding the Third Proportional to 9,420.75 and 18,600.75

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Solution

The third proportional to 9,420.75 and 18,600.75 is: 36,726.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,420.75 : 18,600.75 = 18,600.75 : x
  2. Step 2: Convert to fraction form
    9,420.75/18,600.75 = 18,600.75/x
  3. Step 3: Cross multiply
    9,420.75x = 18,600.75 × 18,600.75
  4. Step 4: Simplify right side
    9,420.75x = 345,987,900.56
  5. Step 5: Solve for x
    x = 345,987,900.56/9,420.75
  6. Step 6: Final answer
    x = 36,726.15

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.