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Finding the Third Proportional to 10,809.28 and 13,811.77

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Solution

The third proportional to 10,809.28 and 13,811.77 is: 17,648.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,809.28 : 13,811.77 = 13,811.77 : x
  2. Step 2: Convert to fraction form
    10,809.28/13,811.77 = 13,811.77/x
  3. Step 3: Cross multiply
    10,809.28x = 13,811.77 × 13,811.77
  4. Step 4: Simplify right side
    10,809.28x = 190,764,869.68
  5. Step 5: Solve for x
    x = 190,764,869.68/10,809.28
  6. Step 6: Final answer
    x = 17,648.25

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.