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Finding the Third Proportional to 74,311 and 161,743

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Solution

The third proportional to 74,311 and 161,743 is: 352,044.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,311 : 161,743 = 161,743 : x
  2. Step 2: Convert to fraction form
    74,311/161,743 = 161,743/x
  3. Step 3: Cross multiply
    74,311x = 161,743 × 161,743
  4. Step 4: Simplify right side
    74,311x = 26,160,798,049
  5. Step 5: Solve for x
    x = 26,160,798,049/74,311
  6. Step 6: Final answer
    x = 352,044.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.