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Finding the Third Proportional to 172,895 and 403,831

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Solution

The third proportional to 172,895 and 403,831 is: 943,228.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,895 : 403,831 = 403,831 : x
  2. Step 2: Convert to fraction form
    172,895/403,831 = 403,831/x
  3. Step 3: Cross multiply
    172,895x = 403,831 × 403,831
  4. Step 4: Simplify right side
    172,895x = 163,079,476,561
  5. Step 5: Solve for x
    x = 163,079,476,561/172,895
  6. Step 6: Final answer
    x = 943,228.41

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.