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Finding the Third Proportional to 211,476 and 311,372

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Solution

The third proportional to 211,476 and 311,372 is: 458,456.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,476 : 311,372 = 311,372 : x
  2. Step 2: Convert to fraction form
    211,476/311,372 = 311,372/x
  3. Step 3: Cross multiply
    211,476x = 311,372 × 311,372
  4. Step 4: Simplify right side
    211,476x = 96,952,522,384
  5. Step 5: Solve for x
    x = 96,952,522,384/211,476
  6. Step 6: Final answer
    x = 458,456.38

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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.