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Finding the Third Proportional to 9,708.75 and 18,141.75

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Solution

The third proportional to 9,708.75 and 18,141.75 is: 33,899.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,708.75 : 18,141.75 = 18,141.75 : x
  2. Step 2: Convert to fraction form
    9,708.75/18,141.75 = 18,141.75/x
  3. Step 3: Cross multiply
    9,708.75x = 18,141.75 × 18,141.75
  4. Step 4: Simplify right side
    9,708.75x = 329,123,093.06
  5. Step 5: Solve for x
    x = 329,123,093.06/9,708.75
  6. Step 6: Final answer
    x = 33,899.64

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.