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Finding the Third Proportional to 256.91 and 383.84

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Solution

The third proportional to 256.91 and 383.84 is: 573.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.91 : 383.84 = 383.84 : x
  2. Step 2: Convert to fraction form
    256.91/383.84 = 383.84/x
  3. Step 3: Cross multiply
    256.91x = 383.84 × 383.84
  4. Step 4: Simplify right side
    256.91x = 147,336.02
  5. Step 5: Solve for x
    x = 147,336.02/256.91
  6. Step 6: Final answer
    x = 573.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.