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Finding the Third Proportional to 210.88 and 499.63

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Solution

The third proportional to 210.88 and 499.63 is: 1,183.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.88 : 499.63 = 499.63 : x
  2. Step 2: Convert to fraction form
    210.88/499.63 = 499.63/x
  3. Step 3: Cross multiply
    210.88x = 499.63 × 499.63
  4. Step 4: Simplify right side
    210.88x = 249,625.14
  5. Step 5: Solve for x
    x = 249,625.14/210.88
  6. Step 6: Final answer
    x = 1,183.76

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.