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Finding the Third Proportional to 125.63 and 256.56

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Solution

The third proportional to 125.63 and 256.56 is: 523.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.63 : 256.56 = 256.56 : x
  2. Step 2: Convert to fraction form
    125.63/256.56 = 256.56/x
  3. Step 3: Cross multiply
    125.63x = 256.56 × 256.56
  4. Step 4: Simplify right side
    125.63x = 65,824.32
  5. Step 5: Solve for x
    x = 65,824.32/125.63
  6. Step 6: Final answer
    x = 523.97

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.