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Finding the Third Proportional to 252.56 and 446.06

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Solution

The third proportional to 252.56 and 446.06 is: 787.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.56 : 446.06 = 446.06 : x
  2. Step 2: Convert to fraction form
    252.56/446.06 = 446.06/x
  3. Step 3: Cross multiply
    252.56x = 446.06 × 446.06
  4. Step 4: Simplify right side
    252.56x = 198,971.75
  5. Step 5: Solve for x
    x = 198,971.75/252.56
  6. Step 6: Final answer
    x = 787.81

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.