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Finding the Third Proportional to 200,940 and 273,644

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Solution

The third proportional to 200,940 and 273,644 is: 372,653.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,940 : 273,644 = 273,644 : x
  2. Step 2: Convert to fraction form
    200,940/273,644 = 273,644/x
  3. Step 3: Cross multiply
    200,940x = 273,644 × 273,644
  4. Step 4: Simplify right side
    200,940x = 74,881,038,736
  5. Step 5: Solve for x
    x = 74,881,038,736/200,940
  6. Step 6: Final answer
    x = 372,653.72

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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.