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Finding the Third Proportional to 10,228.78 and 17,268.19

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Solution

The third proportional to 10,228.78 and 17,268.19 is: 29,152.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,228.78 : 17,268.19 = 17,268.19 : x
  2. Step 2: Convert to fraction form
    10,228.78/17,268.19 = 17,268.19/x
  3. Step 3: Cross multiply
    10,228.78x = 17,268.19 × 17,268.19
  4. Step 4: Simplify right side
    10,228.78x = 298,190,299.54
  5. Step 5: Solve for x
    x = 298,190,299.54/10,228.78
  6. Step 6: Final answer
    x = 29,152.08

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Why These Related Problems?

These problems maintain the same ratio (1.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.