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Finding the Third Proportional to 201,324 and 311,327

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Solution

The third proportional to 201,324 and 311,327 is: 481,435.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,324 : 311,327 = 311,327 : x
  2. Step 2: Convert to fraction form
    201,324/311,327 = 311,327/x
  3. Step 3: Cross multiply
    201,324x = 311,327 × 311,327
  4. Step 4: Simplify right side
    201,324x = 96,924,500,929
  5. Step 5: Solve for x
    x = 96,924,500,929/201,324
  6. Step 6: Final answer
    x = 481,435.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.