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Finding the Third Proportional to 9,138.63 and 13,775.50

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Solution

The third proportional to 9,138.63 and 13,775.50 is: 20,765.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,138.63 : 13,775.50 = 13,775.50 : x
  2. Step 2: Convert to fraction form
    9,138.63/13,775.50 = 13,775.50/x
  3. Step 3: Cross multiply
    9,138.63x = 13,775.50 × 13,775.50
  4. Step 4: Simplify right side
    9,138.63x = 189,764,400.25
  5. Step 5: Solve for x
    x = 189,764,400.25/9,138.63
  6. Step 6: Final answer
    x = 20,765.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.