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Finding the Third Proportional to 201,332 and 311,340

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Solution

The third proportional to 201,332 and 311,340 is: 481,456.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,332 : 311,340 = 311,340 : x
  2. Step 2: Convert to fraction form
    201,332/311,340 = 311,340/x
  3. Step 3: Cross multiply
    201,332x = 311,340 × 311,340
  4. Step 4: Simplify right side
    201,332x = 96,932,595,600
  5. Step 5: Solve for x
    x = 96,932,595,600/201,332
  6. Step 6: Final answer
    x = 481,456.48

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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.