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Finding the Third Proportional to 66,736 and 90,079

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Solution

The third proportional to 66,736 and 90,079 is: 121,586.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,736 : 90,079 = 90,079 : x
  2. Step 2: Convert to fraction form
    66,736/90,079 = 90,079/x
  3. Step 3: Cross multiply
    66,736x = 90,079 × 90,079
  4. Step 4: Simplify right side
    66,736x = 8,114,226,241
  5. Step 5: Solve for x
    x = 8,114,226,241/66,736
  6. Step 6: Final answer
    x = 121,586.94

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.