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Finding the Third Proportional to 73,986 and 161,811

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Solution

The third proportional to 73,986 and 161,811 is: 353,888.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,986 : 161,811 = 161,811 : x
  2. Step 2: Convert to fraction form
    73,986/161,811 = 161,811/x
  3. Step 3: Cross multiply
    73,986x = 161,811 × 161,811
  4. Step 4: Simplify right side
    73,986x = 26,182,799,721
  5. Step 5: Solve for x
    x = 26,182,799,721/73,986
  6. Step 6: Final answer
    x = 353,888.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.