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Finding the Third Proportional to 77,078 and 167,272

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Solution

The third proportional to 77,078 and 167,272 is: 363,007.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,078 : 167,272 = 167,272 : x
  2. Step 2: Convert to fraction form
    77,078/167,272 = 167,272/x
  3. Step 3: Cross multiply
    77,078x = 167,272 × 167,272
  4. Step 4: Simplify right side
    77,078x = 27,979,921,984
  5. Step 5: Solve for x
    x = 27,979,921,984/77,078
  6. Step 6: Final answer
    x = 363,007.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.