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Finding the Third Proportional to 50,948 and 112,046

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Solution

The third proportional to 50,948 and 112,046 is: 246,414.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,948 : 112,046 = 112,046 : x
  2. Step 2: Convert to fraction form
    50,948/112,046 = 112,046/x
  3. Step 3: Cross multiply
    50,948x = 112,046 × 112,046
  4. Step 4: Simplify right side
    50,948x = 12,554,306,116
  5. Step 5: Solve for x
    x = 12,554,306,116/50,948
  6. Step 6: Final answer
    x = 246,414.11

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.