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Finding the Third Proportional to 42,257 and 91,279

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Solution

The third proportional to 42,257 and 91,279 is: 197,171.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,257 : 91,279 = 91,279 : x
  2. Step 2: Convert to fraction form
    42,257/91,279 = 91,279/x
  3. Step 3: Cross multiply
    42,257x = 91,279 × 91,279
  4. Step 4: Simplify right side
    42,257x = 8,331,855,841
  5. Step 5: Solve for x
    x = 8,331,855,841/42,257
  6. Step 6: Final answer
    x = 197,171.02

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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.