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Finding the Third Proportional to 9,416.50 and 13,836.75

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Solution

The third proportional to 9,416.50 and 13,836.75 is: 20,331.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,416.50 : 13,836.75 = 13,836.75 : x
  2. Step 2: Convert to fraction form
    9,416.50/13,836.75 = 13,836.75/x
  3. Step 3: Cross multiply
    9,416.50x = 13,836.75 × 13,836.75
  4. Step 4: Simplify right side
    9,416.50x = 191,455,650.56
  5. Step 5: Solve for x
    x = 191,455,650.56/9,416.50
  6. Step 6: Final answer
    x = 20,331.93

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.