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Finding the Third Proportional to 79,327 and 172,855

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Solution

The third proportional to 79,327 and 172,855 is: 376,654.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,327 : 172,855 = 172,855 : x
  2. Step 2: Convert to fraction form
    79,327/172,855 = 172,855/x
  3. Step 3: Cross multiply
    79,327x = 172,855 × 172,855
  4. Step 4: Simplify right side
    79,327x = 29,878,851,025
  5. Step 5: Solve for x
    x = 29,878,851,025/79,327
  6. Step 6: Final answer
    x = 376,654.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.