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Finding the Third Proportional to 42,856 and 92,290

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Solution

The third proportional to 42,856 and 92,290 is: 198,745.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,856 : 92,290 = 92,290 : x
  2. Step 2: Convert to fraction form
    42,856/92,290 = 92,290/x
  3. Step 3: Cross multiply
    42,856x = 92,290 × 92,290
  4. Step 4: Simplify right side
    42,856x = 8,517,444,100
  5. Step 5: Solve for x
    x = 8,517,444,100/42,856
  6. Step 6: Final answer
    x = 198,745.66

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