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Finding the Third Proportional to 200,904 and 311,280

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Solution

The third proportional to 200,904 and 311,280 is: 482,296.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,904 : 311,280 = 311,280 : x
  2. Step 2: Convert to fraction form
    200,904/311,280 = 311,280/x
  3. Step 3: Cross multiply
    200,904x = 311,280 × 311,280
  4. Step 4: Simplify right side
    200,904x = 96,895,238,400
  5. Step 5: Solve for x
    x = 96,895,238,400/200,904
  6. Step 6: Final answer
    x = 482,296.21

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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.