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Finding the Third Proportional to 384.43 and 529.66

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Solution

The third proportional to 384.43 and 529.66 is: 729.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.43 : 529.66 = 529.66 : x
  2. Step 2: Convert to fraction form
    384.43/529.66 = 529.66/x
  3. Step 3: Cross multiply
    384.43x = 529.66 × 529.66
  4. Step 4: Simplify right side
    384.43x = 280,544.02
  5. Step 5: Solve for x
    x = 280,544.02/384.43
  6. Step 6: Final answer
    x = 729.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.