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Finding the Third Proportional to 113,840 and 164,467

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Solution

The third proportional to 113,840 and 164,467 is: 237,608.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,840 : 164,467 = 164,467 : x
  2. Step 2: Convert to fraction form
    113,840/164,467 = 164,467/x
  3. Step 3: Cross multiply
    113,840x = 164,467 × 164,467
  4. Step 4: Simplify right side
    113,840x = 27,049,394,089
  5. Step 5: Solve for x
    x = 27,049,394,089/113,840
  6. Step 6: Final answer
    x = 237,608.87

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.