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Finding the Third Proportional to 106,408 and 161,920

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Solution

The third proportional to 106,408 and 161,920 is: 246,392.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,408 : 161,920 = 161,920 : x
  2. Step 2: Convert to fraction form
    106,408/161,920 = 161,920/x
  3. Step 3: Cross multiply
    106,408x = 161,920 × 161,920
  4. Step 4: Simplify right side
    106,408x = 26,218,086,400
  5. Step 5: Solve for x
    x = 26,218,086,400/106,408
  6. Step 6: Final answer
    x = 246,392.06

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.