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Finding the Third Proportional to 191,721 and 403,268

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Solution

The third proportional to 191,721 and 403,268 is: 848,238.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,721 : 403,268 = 403,268 : x
  2. Step 2: Convert to fraction form
    191,721/403,268 = 403,268/x
  3. Step 3: Cross multiply
    191,721x = 403,268 × 403,268
  4. Step 4: Simplify right side
    191,721x = 162,625,079,824
  5. Step 5: Solve for x
    x = 162,625,079,824/191,721
  6. Step 6: Final answer
    x = 848,238.22

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.