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Finding the Third Proportional to 211,472 and 311,366

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Solution

The third proportional to 211,472 and 311,366 is: 458,447.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,472 : 311,366 = 311,366 : x
  2. Step 2: Convert to fraction form
    211,472/311,366 = 311,366/x
  3. Step 3: Cross multiply
    211,472x = 311,366 × 311,366
  4. Step 4: Simplify right side
    211,472x = 96,948,785,956
  5. Step 5: Solve for x
    x = 96,948,785,956/211,472
  6. Step 6: Final answer
    x = 458,447.39

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.