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Finding the Third Proportional to 79,909 and 172,272

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Solution

The third proportional to 79,909 and 172,272 is: 371,392.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,909 : 172,272 = 172,272 : x
  2. Step 2: Convert to fraction form
    79,909/172,272 = 172,272/x
  3. Step 3: Cross multiply
    79,909x = 172,272 × 172,272
  4. Step 4: Simplify right side
    79,909x = 29,677,641,984
  5. Step 5: Solve for x
    x = 29,677,641,984/79,909
  6. Step 6: Final answer
    x = 371,392.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.