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Finding the Third Proportional to 10,800 and 16,683.75

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Solution

The third proportional to 10,800 and 16,683.75 is: 25,772.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,800 : 16,683.75 = 16,683.75 : x
  2. Step 2: Convert to fraction form
    10,800/16,683.75 = 16,683.75/x
  3. Step 3: Cross multiply
    10,800x = 16,683.75 × 16,683.75
  4. Step 4: Simplify right side
    10,800x = 278,347,514.06
  5. Step 5: Solve for x
    x = 278,347,514.06/10,800
  6. Step 6: Final answer
    x = 25,772.92

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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.