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Finding the Third Proportional to 490.88 and 824.44

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Solution

The third proportional to 490.88 and 824.44 is: 1,384.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.88 : 824.44 = 824.44 : x
  2. Step 2: Convert to fraction form
    490.88/824.44 = 824.44/x
  3. Step 3: Cross multiply
    490.88x = 824.44 × 824.44
  4. Step 4: Simplify right side
    490.88x = 679,697.19
  5. Step 5: Solve for x
    x = 679,697.19/490.88
  6. Step 6: Final answer
    x = 1,384.66

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Why These Related Problems?

These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.