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Finding the Third Proportional to 28,868 and 43,387

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Solution

The third proportional to 28,868 and 43,387 is: 65,208.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,868 : 43,387 = 43,387 : x
  2. Step 2: Convert to fraction form
    28,868/43,387 = 43,387/x
  3. Step 3: Cross multiply
    28,868x = 43,387 × 43,387
  4. Step 4: Simplify right side
    28,868x = 1,882,431,769
  5. Step 5: Solve for x
    x = 1,882,431,769/28,868
  6. Step 6: Final answer
    x = 65,208.25

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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.