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Finding the Third Proportional to 87,867 and 136,152

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Solution

The third proportional to 87,867 and 136,152 is: 210,970.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,867 : 136,152 = 136,152 : x
  2. Step 2: Convert to fraction form
    87,867/136,152 = 136,152/x
  3. Step 3: Cross multiply
    87,867x = 136,152 × 136,152
  4. Step 4: Simplify right side
    87,867x = 18,537,367,104
  5. Step 5: Solve for x
    x = 18,537,367,104/87,867
  6. Step 6: Final answer
    x = 210,970.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.