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Finding the Third Proportional to 200,865 and 311,276

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Solution

The third proportional to 200,865 and 311,276 is: 482,377.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,865 : 311,276 = 311,276 : x
  2. Step 2: Convert to fraction form
    200,865/311,276 = 311,276/x
  3. Step 3: Cross multiply
    200,865x = 311,276 × 311,276
  4. Step 4: Simplify right side
    200,865x = 96,892,748,176
  5. Step 5: Solve for x
    x = 96,892,748,176/200,865
  6. Step 6: Final answer
    x = 482,377.46

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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.