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Finding the Third Proportional to 77,408 and 166,048

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Solution

The third proportional to 77,408 and 166,048 is: 356,189.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,408 : 166,048 = 166,048 : x
  2. Step 2: Convert to fraction form
    77,408/166,048 = 166,048/x
  3. Step 3: Cross multiply
    77,408x = 166,048 × 166,048
  4. Step 4: Simplify right side
    77,408x = 27,571,938,304
  5. Step 5: Solve for x
    x = 27,571,938,304/77,408
  6. Step 6: Final answer
    x = 356,189.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.