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Finding the Third Proportional to 178,826 and 386,691

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Solution

The third proportional to 178,826 and 386,691 is: 836,175.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,826 : 386,691 = 386,691 : x
  2. Step 2: Convert to fraction form
    178,826/386,691 = 386,691/x
  3. Step 3: Cross multiply
    178,826x = 386,691 × 386,691
  4. Step 4: Simplify right side
    178,826x = 149,529,929,481
  5. Step 5: Solve for x
    x = 149,529,929,481/178,826
  6. Step 6: Final answer
    x = 836,175.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.