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Finding the Third Proportional to 200,333 and 311,988

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Solution

The third proportional to 200,333 and 311,988 is: 485,873.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,333 : 311,988 = 311,988 : x
  2. Step 2: Convert to fraction form
    200,333/311,988 = 311,988/x
  3. Step 3: Cross multiply
    200,333x = 311,988 × 311,988
  4. Step 4: Simplify right side
    200,333x = 97,336,512,144
  5. Step 5: Solve for x
    x = 97,336,512,144/200,333
  6. Step 6: Final answer
    x = 485,873.58

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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.