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Finding the Third Proportional to 8,531.58 and 13,110.61

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Solution

The third proportional to 8,531.58 and 13,110.61 is: 20,147.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,531.58 : 13,110.61 = 13,110.61 : x
  2. Step 2: Convert to fraction form
    8,531.58/13,110.61 = 13,110.61/x
  3. Step 3: Cross multiply
    8,531.58x = 13,110.61 × 13,110.61
  4. Step 4: Simplify right side
    8,531.58x = 171,888,078.18
  5. Step 5: Solve for x
    x = 171,888,078.18/8,531.58
  6. Step 6: Final answer
    x = 20,147.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.