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Finding the Third Proportional to 499.69 and 583.22

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Solution

The third proportional to 499.69 and 583.22 is: 680.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.69 : 583.22 = 583.22 : x
  2. Step 2: Convert to fraction form
    499.69/583.22 = 583.22/x
  3. Step 3: Cross multiply
    499.69x = 583.22 × 583.22
  4. Step 4: Simplify right side
    499.69x = 340,144.11
  5. Step 5: Solve for x
    x = 340,144.11/499.69
  6. Step 6: Final answer
    x = 680.71

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.