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Finding the Third Proportional to 39,216 and 76,464

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Solution

The third proportional to 39,216 and 76,464 is: 149,090.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,216 : 76,464 = 76,464 : x
  2. Step 2: Convert to fraction form
    39,216/76,464 = 76,464/x
  3. Step 3: Cross multiply
    39,216x = 76,464 × 76,464
  4. Step 4: Simplify right side
    39,216x = 5,846,743,296
  5. Step 5: Solve for x
    x = 5,846,743,296/39,216
  6. Step 6: Final answer
    x = 149,090.76

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.