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Finding the Third Proportional to 200,749 and 272,508

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Solution

The third proportional to 200,749 and 272,508 is: 369,917.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,749 : 272,508 = 272,508 : x
  2. Step 2: Convert to fraction form
    200,749/272,508 = 272,508/x
  3. Step 3: Cross multiply
    200,749x = 272,508 × 272,508
  4. Step 4: Simplify right side
    200,749x = 74,260,610,064
  5. Step 5: Solve for x
    x = 74,260,610,064/200,749
  6. Step 6: Final answer
    x = 369,917.71

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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.