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Finding the Third Proportional to 200,967 and 272,920

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Solution

The third proportional to 200,967 and 272,920 is: 370,634.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,967 : 272,920 = 272,920 : x
  2. Step 2: Convert to fraction form
    200,967/272,920 = 272,920/x
  3. Step 3: Cross multiply
    200,967x = 272,920 × 272,920
  4. Step 4: Simplify right side
    200,967x = 74,485,326,400
  5. Step 5: Solve for x
    x = 74,485,326,400/200,967
  6. Step 6: Final answer
    x = 370,634.61

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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.