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Finding the Third Proportional to 28,218 and 43,539

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Solution

The third proportional to 28,218 and 43,539 is: 67,178.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,218 : 43,539 = 43,539 : x
  2. Step 2: Convert to fraction form
    28,218/43,539 = 43,539/x
  3. Step 3: Cross multiply
    28,218x = 43,539 × 43,539
  4. Step 4: Simplify right side
    28,218x = 1,895,644,521
  5. Step 5: Solve for x
    x = 1,895,644,521/28,218
  6. Step 6: Final answer
    x = 67,178.56

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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.