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Finding the Third Proportional to 2,850 and 3,146

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Solution

The third proportional to 2,850 and 3,146 is: 3,472.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,850 : 3,146 = 3,146 : x
  2. Step 2: Convert to fraction form
    2,850/3,146 = 3,146/x
  3. Step 3: Cross multiply
    2,850x = 3,146 × 3,146
  4. Step 4: Simplify right side
    2,850x = 9,897,316
  5. Step 5: Solve for x
    x = 9,897,316/2,850
  6. Step 6: Final answer
    x = 3,472.74

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.