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Finding the Third Proportional to 367.31 and 499.22

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Solution

The third proportional to 367.31 and 499.22 is: 678.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.31 : 499.22 = 499.22 : x
  2. Step 2: Convert to fraction form
    367.31/499.22 = 499.22/x
  3. Step 3: Cross multiply
    367.31x = 499.22 × 499.22
  4. Step 4: Simplify right side
    367.31x = 249,219.36
  5. Step 5: Solve for x
    x = 249,219.36/367.31
  6. Step 6: Final answer
    x = 678.49

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.