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Finding the Third Proportional to 56,805 and 87,867

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Solution

The third proportional to 56,805 and 87,867 is: 135,914.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,805 : 87,867 = 87,867 : x
  2. Step 2: Convert to fraction form
    56,805/87,867 = 87,867/x
  3. Step 3: Cross multiply
    56,805x = 87,867 × 87,867
  4. Step 4: Simplify right side
    56,805x = 7,720,609,689
  5. Step 5: Solve for x
    x = 7,720,609,689/56,805
  6. Step 6: Final answer
    x = 135,914.26

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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.