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Finding the Third Proportional to 77,653 and 166,372

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Solution

The third proportional to 77,653 and 166,372 is: 356,452.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,653 : 166,372 = 166,372 : x
  2. Step 2: Convert to fraction form
    77,653/166,372 = 166,372/x
  3. Step 3: Cross multiply
    77,653x = 166,372 × 166,372
  4. Step 4: Simplify right side
    77,653x = 27,679,642,384
  5. Step 5: Solve for x
    x = 27,679,642,384/77,653
  6. Step 6: Final answer
    x = 356,452.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.