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Finding the Third Proportional to 213.57 and 499.76

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Solution

The third proportional to 213.57 and 499.76 is: 1,169.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.57 : 499.76 = 499.76 : x
  2. Step 2: Convert to fraction form
    213.57/499.76 = 499.76/x
  3. Step 3: Cross multiply
    213.57x = 499.76 × 499.76
  4. Step 4: Simplify right side
    213.57x = 249,763.73
  5. Step 5: Solve for x
    x = 249,763.73/213.57
  6. Step 6: Final answer
    x = 1,169.45

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.