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Finding the Third Proportional to 8,688.25 and 17,683.75

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Solution

The third proportional to 8,688.25 and 17,683.75 is: 35,992.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,688.25 : 17,683.75 = 17,683.75 : x
  2. Step 2: Convert to fraction form
    8,688.25/17,683.75 = 17,683.75/x
  3. Step 3: Cross multiply
    8,688.25x = 17,683.75 × 17,683.75
  4. Step 4: Simplify right side
    8,688.25x = 312,715,014.06
  5. Step 5: Solve for x
    x = 312,715,014.06/8,688.25
  6. Step 6: Final answer
    x = 35,992.87

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.