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Finding the Third Proportional to 200,965 and 311,040

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Solution

The third proportional to 200,965 and 311,040 is: 481,406.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,965 : 311,040 = 311,040 : x
  2. Step 2: Convert to fraction form
    200,965/311,040 = 311,040/x
  3. Step 3: Cross multiply
    200,965x = 311,040 × 311,040
  4. Step 4: Simplify right side
    200,965x = 96,745,881,600
  5. Step 5: Solve for x
    x = 96,745,881,600/200,965
  6. Step 6: Final answer
    x = 481,406.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.