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Finding the Third Proportional to 28,800 and 38,785.50

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Solution

The third proportional to 28,800 and 38,785.50 is: 52,233.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,800 : 38,785.50 = 38,785.50 : x
  2. Step 2: Convert to fraction form
    28,800/38,785.50 = 38,785.50/x
  3. Step 3: Cross multiply
    28,800x = 38,785.50 × 38,785.50
  4. Step 4: Simplify right side
    28,800x = 1,504,315,010.25
  5. Step 5: Solve for x
    x = 1,504,315,010.25/28,800
  6. Step 6: Final answer
    x = 52,233.16

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.