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Finding the Third Proportional to 200,864 and 436,288

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Solution

The third proportional to 200,864 and 436,288 is: 947,642.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,864 : 436,288 = 436,288 : x
  2. Step 2: Convert to fraction form
    200,864/436,288 = 436,288/x
  3. Step 3: Cross multiply
    200,864x = 436,288 × 436,288
  4. Step 4: Simplify right side
    200,864x = 190,347,218,944
  5. Step 5: Solve for x
    x = 190,347,218,944/200,864
  6. Step 6: Final answer
    x = 947,642.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.