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Finding the Third Proportional to 9,351.70 and 12,991.01

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Solution

The third proportional to 9,351.70 and 12,991.01 is: 18,046.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,351.70 : 12,991.01 = 12,991.01 : x
  2. Step 2: Convert to fraction form
    9,351.70/12,991.01 = 12,991.01/x
  3. Step 3: Cross multiply
    9,351.70x = 12,991.01 × 12,991.01
  4. Step 4: Simplify right side
    9,351.70x = 168,766,283.98
  5. Step 5: Solve for x
    x = 168,766,283.98/9,351.70
  6. Step 6: Final answer
    x = 18,046.58

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.