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Finding the Third Proportional to 28,750 and 39,589

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Solution

The third proportional to 28,750 and 39,589 is: 54,514.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,750 : 39,589 = 39,589 : x
  2. Step 2: Convert to fraction form
    28,750/39,589 = 39,589/x
  3. Step 3: Cross multiply
    28,750x = 39,589 × 39,589
  4. Step 4: Simplify right side
    28,750x = 1,567,288,921
  5. Step 5: Solve for x
    x = 1,567,288,921/28,750
  6. Step 6: Final answer
    x = 54,514.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.