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Finding the Third Proportional to 42,872 and 92,872

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Solution

The third proportional to 42,872 and 92,872 is: 201,185.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,872 : 92,872 = 92,872 : x
  2. Step 2: Convert to fraction form
    42,872/92,872 = 92,872/x
  3. Step 3: Cross multiply
    42,872x = 92,872 × 92,872
  4. Step 4: Simplify right side
    42,872x = 8,625,208,384
  5. Step 5: Solve for x
    x = 8,625,208,384/42,872
  6. Step 6: Final answer
    x = 201,185.12

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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.