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Finding the Third Proportional to 8,917.59 and 13,351.71

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Solution

The third proportional to 8,917.59 and 13,351.71 is: 19,990.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,917.59 : 13,351.71 = 13,351.71 : x
  2. Step 2: Convert to fraction form
    8,917.59/13,351.71 = 13,351.71/x
  3. Step 3: Cross multiply
    8,917.59x = 13,351.71 × 13,351.71
  4. Step 4: Simplify right side
    8,917.59x = 178,268,184.96
  5. Step 5: Solve for x
    x = 178,268,184.96/8,917.59
  6. Step 6: Final answer
    x = 19,990.62

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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.