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Finding the Third Proportional to 200,276 and 311,864

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Solution

The third proportional to 200,276 and 311,864 is: 485,625.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,276 : 311,864 = 311,864 : x
  2. Step 2: Convert to fraction form
    200,276/311,864 = 311,864/x
  3. Step 3: Cross multiply
    200,276x = 311,864 × 311,864
  4. Step 4: Simplify right side
    200,276x = 97,259,154,496
  5. Step 5: Solve for x
    x = 97,259,154,496/200,276
  6. Step 6: Final answer
    x = 485,625.61

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.