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Finding the Third Proportional to 171,278 and 361,021

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Solution

The third proportional to 171,278 and 361,021 is: 760,962.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,278 : 361,021 = 361,021 : x
  2. Step 2: Convert to fraction form
    171,278/361,021 = 361,021/x
  3. Step 3: Cross multiply
    171,278x = 361,021 × 361,021
  4. Step 4: Simplify right side
    171,278x = 130,336,162,441
  5. Step 5: Solve for x
    x = 130,336,162,441/171,278
  6. Step 6: Final answer
    x = 760,962.66

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.