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Finding the Third Proportional to 9,103.50 and 18,777

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Solution

The third proportional to 9,103.50 and 18,777 is: 38,729.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,103.50 : 18,777 = 18,777 : x
  2. Step 2: Convert to fraction form
    9,103.50/18,777 = 18,777/x
  3. Step 3: Cross multiply
    9,103.50x = 18,777 × 18,777
  4. Step 4: Simplify right side
    9,103.50x = 352,575,729
  5. Step 5: Solve for x
    x = 352,575,729/9,103.50
  6. Step 6: Final answer
    x = 38,729.69

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.