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Finding the Third Proportional to 172,860 and 369,696

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Solution

The third proportional to 172,860 and 369,696 is: 790,669.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,860 : 369,696 = 369,696 : x
  2. Step 2: Convert to fraction form
    172,860/369,696 = 369,696/x
  3. Step 3: Cross multiply
    172,860x = 369,696 × 369,696
  4. Step 4: Simplify right side
    172,860x = 136,675,132,416
  5. Step 5: Solve for x
    x = 136,675,132,416/172,860
  6. Step 6: Final answer
    x = 790,669.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.