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Finding the Third Proportional to 9,969 and 13,231.50

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Solution

The third proportional to 9,969 and 13,231.50 is: 17,561.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,969 : 13,231.50 = 13,231.50 : x
  2. Step 2: Convert to fraction form
    9,969/13,231.50 = 13,231.50/x
  3. Step 3: Cross multiply
    9,969x = 13,231.50 × 13,231.50
  4. Step 4: Simplify right side
    9,969x = 175,072,592.25
  5. Step 5: Solve for x
    x = 175,072,592.25/9,969
  6. Step 6: Final answer
    x = 17,561.70

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.