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Finding the Third Proportional to 200,330 and 311,979

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Solution

The third proportional to 200,330 and 311,979 is: 485,852.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,330 : 311,979 = 311,979 : x
  2. Step 2: Convert to fraction form
    200,330/311,979 = 311,979/x
  3. Step 3: Cross multiply
    200,330x = 311,979 × 311,979
  4. Step 4: Simplify right side
    200,330x = 97,330,896,441
  5. Step 5: Solve for x
    x = 97,330,896,441/200,330
  6. Step 6: Final answer
    x = 485,852.83

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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.