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Finding the Third Proportional to 42,856 and 92,289

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Solution

The third proportional to 42,856 and 92,289 is: 198,741.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,856 : 92,289 = 92,289 : x
  2. Step 2: Convert to fraction form
    42,856/92,289 = 92,289/x
  3. Step 3: Cross multiply
    42,856x = 92,289 × 92,289
  4. Step 4: Simplify right side
    42,856x = 8,517,259,521
  5. Step 5: Solve for x
    x = 8,517,259,521/42,856
  6. Step 6: Final answer
    x = 198,741.36

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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.