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Finding the Third Proportional to 115,509 and 172,794

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Solution

The third proportional to 115,509 and 172,794 is: 258,488.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,509 : 172,794 = 172,794 : x
  2. Step 2: Convert to fraction form
    115,509/172,794 = 172,794/x
  3. Step 3: Cross multiply
    115,509x = 172,794 × 172,794
  4. Step 4: Simplify right side
    115,509x = 29,857,766,436
  5. Step 5: Solve for x
    x = 29,857,766,436/115,509
  6. Step 6: Final answer
    x = 258,488.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.