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Finding the Third Proportional to 66,534 and 91,161

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Solution

The third proportional to 66,534 and 91,161 is: 124,903.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,534 : 91,161 = 91,161 : x
  2. Step 2: Convert to fraction form
    66,534/91,161 = 91,161/x
  3. Step 3: Cross multiply
    66,534x = 91,161 × 91,161
  4. Step 4: Simplify right side
    66,534x = 8,310,327,921
  5. Step 5: Solve for x
    x = 8,310,327,921/66,534
  6. Step 6: Final answer
    x = 124,903.48

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.