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Finding the Third Proportional to 66,985 and 91,223

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Solution

The third proportional to 66,985 and 91,223 is: 124,231.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,985 : 91,223 = 91,223 : x
  2. Step 2: Convert to fraction form
    66,985/91,223 = 91,223/x
  3. Step 3: Cross multiply
    66,985x = 91,223 × 91,223
  4. Step 4: Simplify right side
    66,985x = 8,321,635,729
  5. Step 5: Solve for x
    x = 8,321,635,729/66,985
  6. Step 6: Final answer
    x = 124,231.33

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.