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Finding the Third Proportional to 200,868 and 272,497

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Solution

The third proportional to 200,868 and 272,497 is: 369,668.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,868 : 272,497 = 272,497 : x
  2. Step 2: Convert to fraction form
    200,868/272,497 = 272,497/x
  3. Step 3: Cross multiply
    200,868x = 272,497 × 272,497
  4. Step 4: Simplify right side
    200,868x = 74,254,615,009
  5. Step 5: Solve for x
    x = 74,254,615,009/200,868
  6. Step 6: Final answer
    x = 369,668.71

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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.