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Finding the Third Proportional to 8,433 and 13,403.25

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Solution

The third proportional to 8,433 and 13,403.25 is: 21,302.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,433 : 13,403.25 = 13,403.25 : x
  2. Step 2: Convert to fraction form
    8,433/13,403.25 = 13,403.25/x
  3. Step 3: Cross multiply
    8,433x = 13,403.25 × 13,403.25
  4. Step 4: Simplify right side
    8,433x = 179,647,110.56
  5. Step 5: Solve for x
    x = 179,647,110.56/8,433
  6. Step 6: Final answer
    x = 21,302.87

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.