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Finding the Third Proportional to 67,138 and 90,858

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Solution

The third proportional to 67,138 and 90,858 is: 122,958.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,138 : 90,858 = 90,858 : x
  2. Step 2: Convert to fraction form
    67,138/90,858 = 90,858/x
  3. Step 3: Cross multiply
    67,138x = 90,858 × 90,858
  4. Step 4: Simplify right side
    67,138x = 8,255,176,164
  5. Step 5: Solve for x
    x = 8,255,176,164/67,138
  6. Step 6: Final answer
    x = 122,958.33

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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.