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Finding the Third Proportional to 256.29 and 529.66

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Solution

The third proportional to 256.29 and 529.66 is: 1,094.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.29 : 529.66 = 529.66 : x
  2. Step 2: Convert to fraction form
    256.29/529.66 = 529.66/x
  3. Step 3: Cross multiply
    256.29x = 529.66 × 529.66
  4. Step 4: Simplify right side
    256.29x = 280,544.02
  5. Step 5: Solve for x
    x = 280,544.02/256.29
  6. Step 6: Final answer
    x = 1,094.64

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.