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Finding the Third Proportional to 499.22 and 819.14

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Solution

The third proportional to 499.22 and 819.14 is: 1,344.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.22 : 819.14 = 819.14 : x
  2. Step 2: Convert to fraction form
    499.22/819.14 = 819.14/x
  3. Step 3: Cross multiply
    499.22x = 819.14 × 819.14
  4. Step 4: Simplify right side
    499.22x = 670,991.36
  5. Step 5: Solve for x
    x = 670,991.36/499.22
  6. Step 6: Final answer
    x = 1,344.08

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.