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Finding the Third Proportional to 39,749 and 84,236

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Solution

The third proportional to 39,749 and 84,236 is: 178,512.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,749 : 84,236 = 84,236 : x
  2. Step 2: Convert to fraction form
    39,749/84,236 = 84,236/x
  3. Step 3: Cross multiply
    39,749x = 84,236 × 84,236
  4. Step 4: Simplify right side
    39,749x = 7,095,703,696
  5. Step 5: Solve for x
    x = 7,095,703,696/39,749
  6. Step 6: Final answer
    x = 178,512.76

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.