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Finding the Third Proportional to 211,375 and 498,469

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Solution

The third proportional to 211,375 and 498,469 is: 1,175,500.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,375 : 498,469 = 498,469 : x
  2. Step 2: Convert to fraction form
    211,375/498,469 = 498,469/x
  3. Step 3: Cross multiply
    211,375x = 498,469 × 498,469
  4. Step 4: Simplify right side
    211,375x = 248,471,343,961
  5. Step 5: Solve for x
    x = 248,471,343,961/211,375
  6. Step 6: Final answer
    x = 1,175,500.15

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.