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Finding the Third Proportional to 200,940 and 273,646

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Solution

The third proportional to 200,940 and 273,646 is: 372,659.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,940 : 273,646 = 273,646 : x
  2. Step 2: Convert to fraction form
    200,940/273,646 = 273,646/x
  3. Step 3: Cross multiply
    200,940x = 273,646 × 273,646
  4. Step 4: Simplify right side
    200,940x = 74,882,133,316
  5. Step 5: Solve for x
    x = 74,882,133,316/200,940
  6. Step 6: Final answer
    x = 372,659.17

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.