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Finding the Third Proportional to 42,851 and 92,279

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Solution

The third proportional to 42,851 and 92,279 is: 198,721.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,851 : 92,279 = 92,279 : x
  2. Step 2: Convert to fraction form
    42,851/92,279 = 92,279/x
  3. Step 3: Cross multiply
    42,851x = 92,279 × 92,279
  4. Step 4: Simplify right side
    42,851x = 8,515,413,841
  5. Step 5: Solve for x
    x = 8,515,413,841/42,851
  6. Step 6: Final answer
    x = 198,721.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.