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Finding the Third Proportional to 172,897 and 403,836

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Solution

The third proportional to 172,897 and 403,836 is: 943,240.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,897 : 403,836 = 403,836 : x
  2. Step 2: Convert to fraction form
    172,897/403,836 = 403,836/x
  3. Step 3: Cross multiply
    172,897x = 403,836 × 403,836
  4. Step 4: Simplify right side
    172,897x = 163,083,514,896
  5. Step 5: Solve for x
    x = 163,083,514,896/172,897
  6. Step 6: Final answer
    x = 943,240.86

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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.