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Finding the Third Proportional to 165,372 and 356,928

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Solution

The third proportional to 165,372 and 356,928 is: 770,369.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,372 : 356,928 = 356,928 : x
  2. Step 2: Convert to fraction form
    165,372/356,928 = 356,928/x
  3. Step 3: Cross multiply
    165,372x = 356,928 × 356,928
  4. Step 4: Simplify right side
    165,372x = 127,397,597,184
  5. Step 5: Solve for x
    x = 127,397,597,184/165,372
  6. Step 6: Final answer
    x = 770,369.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.