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Finding the Third Proportional to 257.45 and 380.64

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Solution

The third proportional to 257.45 and 380.64 is: 562.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.45 : 380.64 = 380.64 : x
  2. Step 2: Convert to fraction form
    257.45/380.64 = 380.64/x
  3. Step 3: Cross multiply
    257.45x = 380.64 × 380.64
  4. Step 4: Simplify right side
    257.45x = 144,884.31
  5. Step 5: Solve for x
    x = 144,884.31/257.45
  6. Step 6: Final answer
    x = 562.77

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.