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Finding the Third Proportional to 40,910 and 87,647

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Solution

The third proportional to 40,910 and 87,647 is: 187,777.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,910 : 87,647 = 87,647 : x
  2. Step 2: Convert to fraction form
    40,910/87,647 = 87,647/x
  3. Step 3: Cross multiply
    40,910x = 87,647 × 87,647
  4. Step 4: Simplify right side
    40,910x = 7,681,996,609
  5. Step 5: Solve for x
    x = 7,681,996,609/40,910
  6. Step 6: Final answer
    x = 187,777.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.