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Finding the Third Proportional to 66,986 and 89,356

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Solution

The third proportional to 66,986 and 89,356 is: 119,196.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,986 : 89,356 = 89,356 : x
  2. Step 2: Convert to fraction form
    66,986/89,356 = 89,356/x
  3. Step 3: Cross multiply
    66,986x = 89,356 × 89,356
  4. Step 4: Simplify right side
    66,986x = 7,984,494,736
  5. Step 5: Solve for x
    x = 7,984,494,736/66,986
  6. Step 6: Final answer
    x = 119,196.47

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.