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Finding the Third Proportional to 172,270 and 369,446

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Solution

The third proportional to 172,270 and 369,446 is: 792,304.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,270 : 369,446 = 369,446 : x
  2. Step 2: Convert to fraction form
    172,270/369,446 = 369,446/x
  3. Step 3: Cross multiply
    172,270x = 369,446 × 369,446
  4. Step 4: Simplify right side
    172,270x = 136,490,346,916
  5. Step 5: Solve for x
    x = 136,490,346,916/172,270
  6. Step 6: Final answer
    x = 792,304.79

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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.