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Finding the Third Proportional to 39,255 and 52,239

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Solution

The third proportional to 39,255 and 52,239 is: 69,517.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,255 : 52,239 = 52,239 : x
  2. Step 2: Convert to fraction form
    39,255/52,239 = 52,239/x
  3. Step 3: Cross multiply
    39,255x = 52,239 × 52,239
  4. Step 4: Simplify right side
    39,255x = 2,728,913,121
  5. Step 5: Solve for x
    x = 2,728,913,121/39,255
  6. Step 6: Final answer
    x = 69,517.59

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.