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Finding the Third Proportional to 252.02 and 380.16

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Solution

The third proportional to 252.02 and 380.16 is: 573.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.02 : 380.16 = 380.16 : x
  2. Step 2: Convert to fraction form
    252.02/380.16 = 380.16/x
  3. Step 3: Cross multiply
    252.02x = 380.16 × 380.16
  4. Step 4: Simplify right side
    252.02x = 144,523.23
  5. Step 5: Solve for x
    x = 144,523.23/252.02
  6. Step 6: Final answer
    x = 573.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.