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Finding the Third Proportional to 54,700 and 82,218

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Solution

The third proportional to 54,700 and 82,218 is: 123,579.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,700 : 82,218 = 82,218 : x
  2. Step 2: Convert to fraction form
    54,700/82,218 = 82,218/x
  3. Step 3: Cross multiply
    54,700x = 82,218 × 82,218
  4. Step 4: Simplify right side
    54,700x = 6,759,799,524
  5. Step 5: Solve for x
    x = 6,759,799,524/54,700
  6. Step 6: Final answer
    x = 123,579.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.