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Finding the Third Proportional to 200,310 and 311,949

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Solution

The third proportional to 200,310 and 311,949 is: 485,807.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,310 : 311,949 = 311,949 : x
  2. Step 2: Convert to fraction form
    200,310/311,949 = 311,949/x
  3. Step 3: Cross multiply
    200,310x = 311,949 × 311,949
  4. Step 4: Simplify right side
    200,310x = 97,312,178,601
  5. Step 5: Solve for x
    x = 97,312,178,601/200,310
  6. Step 6: Final answer
    x = 485,807.89

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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.