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Finding the Third Proportional to 2,946 and 3,538

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Solution

The third proportional to 2,946 and 3,538 is: 4,248.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,946 : 3,538 = 3,538 : x
  2. Step 2: Convert to fraction form
    2,946/3,538 = 3,538/x
  3. Step 3: Cross multiply
    2,946x = 3,538 × 3,538
  4. Step 4: Simplify right side
    2,946x = 12,517,444
  5. Step 5: Solve for x
    x = 12,517,444/2,946
  6. Step 6: Final answer
    x = 4,248.96

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These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.