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Finding the Third Proportional to 172,842 and 366,228

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Solution

The third proportional to 172,842 and 366,228 is: 775,985.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,842 : 366,228 = 366,228 : x
  2. Step 2: Convert to fraction form
    172,842/366,228 = 366,228/x
  3. Step 3: Cross multiply
    172,842x = 366,228 × 366,228
  4. Step 4: Simplify right side
    172,842x = 134,122,947,984
  5. Step 5: Solve for x
    x = 134,122,947,984/172,842
  6. Step 6: Final answer
    x = 775,985.86

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.