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Finding the Third Proportional to 115,412 and 172,656

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Solution

The third proportional to 115,412 and 172,656 is: 258,292.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,412 : 172,656 = 172,656 : x
  2. Step 2: Convert to fraction form
    115,412/172,656 = 172,656/x
  3. Step 3: Cross multiply
    115,412x = 172,656 × 172,656
  4. Step 4: Simplify right side
    115,412x = 29,810,094,336
  5. Step 5: Solve for x
    x = 29,810,094,336/115,412
  6. Step 6: Final answer
    x = 258,292.85

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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.