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Finding the Third Proportional to 8,844.75 and 13,290

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Solution

The third proportional to 8,844.75 and 13,290 is: 19,969.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,844.75 : 13,290 = 13,290 : x
  2. Step 2: Convert to fraction form
    8,844.75/13,290 = 13,290/x
  3. Step 3: Cross multiply
    8,844.75x = 13,290 × 13,290
  4. Step 4: Simplify right side
    8,844.75x = 176,624,100
  5. Step 5: Solve for x
    x = 176,624,100/8,844.75
  6. Step 6: Final answer
    x = 19,969.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.