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Finding the Third Proportional to 172,855 and 369,687

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Solution

The third proportional to 172,855 and 369,687 is: 790,653.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,855 : 369,687 = 369,687 : x
  2. Step 2: Convert to fraction form
    172,855/369,687 = 369,687/x
  3. Step 3: Cross multiply
    172,855x = 369,687 × 369,687
  4. Step 4: Simplify right side
    172,855x = 136,668,477,969
  5. Step 5: Solve for x
    x = 136,668,477,969/172,855
  6. Step 6: Final answer
    x = 790,653.89

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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.