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Finding the Third Proportional to 53,211 and 80,208

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Solution

The third proportional to 53,211 and 80,208 is: 120,902.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,211 : 80,208 = 80,208 : x
  2. Step 2: Convert to fraction form
    53,211/80,208 = 80,208/x
  3. Step 3: Cross multiply
    53,211x = 80,208 × 80,208
  4. Step 4: Simplify right side
    53,211x = 6,433,323,264
  5. Step 5: Solve for x
    x = 6,433,323,264/53,211
  6. Step 6: Final answer
    x = 120,902.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.