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Finding the Third Proportional to 422.50 and 499.75

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Solution

The third proportional to 422.50 and 499.75 is: 591.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.50 : 499.75 = 499.75 : x
  2. Step 2: Convert to fraction form
    422.50/499.75 = 499.75/x
  3. Step 3: Cross multiply
    422.50x = 499.75 × 499.75
  4. Step 4: Simplify right side
    422.50x = 249,750.06
  5. Step 5: Solve for x
    x = 249,750.06/422.50
  6. Step 6: Final answer
    x = 591.12

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.