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Finding the Third Proportional to 200,304 and 311,940

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Solution

The third proportional to 200,304 and 311,940 is: 485,794.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,304 : 311,940 = 311,940 : x
  2. Step 2: Convert to fraction form
    200,304/311,940 = 311,940/x
  3. Step 3: Cross multiply
    200,304x = 311,940 × 311,940
  4. Step 4: Simplify right side
    200,304x = 97,306,563,600
  5. Step 5: Solve for x
    x = 97,306,563,600/200,304
  6. Step 6: Final answer
    x = 485,794.41

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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.