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Finding the Third Proportional to 9,135.28 and 18,145.27

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Solution

The third proportional to 9,135.28 and 18,145.27 is: 36,041.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,135.28 : 18,145.27 = 18,145.27 : x
  2. Step 2: Convert to fraction form
    9,135.28/18,145.27 = 18,145.27/x
  3. Step 3: Cross multiply
    9,135.28x = 18,145.27 × 18,145.27
  4. Step 4: Simplify right side
    9,135.28x = 329,250,664.60
  5. Step 5: Solve for x
    x = 329,250,664.60/9,135.28
  6. Step 6: Final answer
    x = 36,041.66

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Why These Related Problems?

These problems maintain the same ratio (1.99) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.