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Finding the Third Proportional to 77,728 and 167,872

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Solution

The third proportional to 77,728 and 167,872 is: 362,559.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,728 : 167,872 = 167,872 : x
  2. Step 2: Convert to fraction form
    77,728/167,872 = 167,872/x
  3. Step 3: Cross multiply
    77,728x = 167,872 × 167,872
  4. Step 4: Simplify right side
    77,728x = 28,181,008,384
  5. Step 5: Solve for x
    x = 28,181,008,384/77,728
  6. Step 6: Final answer
    x = 362,559.29

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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.