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Finding the Third Proportional to 256.88 and 392.81

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Solution

The third proportional to 256.88 and 392.81 is: 600.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.88 : 392.81 = 392.81 : x
  2. Step 2: Convert to fraction form
    256.88/392.81 = 392.81/x
  3. Step 3: Cross multiply
    256.88x = 392.81 × 392.81
  4. Step 4: Simplify right side
    256.88x = 154,301.66
  5. Step 5: Solve for x
    x = 154,301.66/256.88
  6. Step 6: Final answer
    x = 600.69

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.