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Finding the Third Proportional to 66,896 and 91,731

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Solution

The third proportional to 66,896 and 91,731 is: 125,785.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,896 : 91,731 = 91,731 : x
  2. Step 2: Convert to fraction form
    66,896/91,731 = 91,731/x
  3. Step 3: Cross multiply
    66,896x = 91,731 × 91,731
  4. Step 4: Simplify right side
    66,896x = 8,414,576,361
  5. Step 5: Solve for x
    x = 8,414,576,361/66,896
  6. Step 6: Final answer
    x = 125,785.94

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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.