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Finding the Third Proportional to 40,843 and 87,943

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Solution

The third proportional to 40,843 and 87,943 is: 189,358.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,843 : 87,943 = 87,943 : x
  2. Step 2: Convert to fraction form
    40,843/87,943 = 87,943/x
  3. Step 3: Cross multiply
    40,843x = 87,943 × 87,943
  4. Step 4: Simplify right side
    40,843x = 7,733,971,249
  5. Step 5: Solve for x
    x = 7,733,971,249/40,843
  6. Step 6: Final answer
    x = 189,358.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.