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Finding the Third Proportional to 32,078 and 77,279

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Solution

The third proportional to 32,078 and 77,279 is: 186,172.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,078 : 77,279 = 77,279 : x
  2. Step 2: Convert to fraction form
    32,078/77,279 = 77,279/x
  3. Step 3: Cross multiply
    32,078x = 77,279 × 77,279
  4. Step 4: Simplify right side
    32,078x = 5,972,043,841
  5. Step 5: Solve for x
    x = 5,972,043,841/32,078
  6. Step 6: Final answer
    x = 186,172.57

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.