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Finding the Third Proportional to 18,666 and 28,295

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Solution

The third proportional to 18,666 and 28,295 is: 42,891.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,666 : 28,295 = 28,295 : x
  2. Step 2: Convert to fraction form
    18,666/28,295 = 28,295/x
  3. Step 3: Cross multiply
    18,666x = 28,295 × 28,295
  4. Step 4: Simplify right side
    18,666x = 800,607,025
  5. Step 5: Solve for x
    x = 800,607,025/18,666
  6. Step 6: Final answer
    x = 42,891.19

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.