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Finding the Third Proportional to 39,478 and 51,218

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Solution

The third proportional to 39,478 and 51,218 is: 66,449.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,478 : 51,218 = 51,218 : x
  2. Step 2: Convert to fraction form
    39,478/51,218 = 51,218/x
  3. Step 3: Cross multiply
    39,478x = 51,218 × 51,218
  4. Step 4: Simplify right side
    39,478x = 2,623,283,524
  5. Step 5: Solve for x
    x = 2,623,283,524/39,478
  6. Step 6: Final answer
    x = 66,449.25

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.