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Finding the Third Proportional to 39,474 and 51,215.63

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Solution

The third proportional to 39,474 and 51,215.63 is: 66,449.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,474 : 51,215.63 = 51,215.63 : x
  2. Step 2: Convert to fraction form
    39,474/51,215.63 = 51,215.63/x
  3. Step 3: Cross multiply
    39,474x = 51,215.63 × 51,215.63
  4. Step 4: Simplify right side
    39,474x = 2,623,040,244.14
  5. Step 5: Solve for x
    x = 2,623,040,244.14/39,474
  6. Step 6: Final answer
    x = 66,449.82

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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.