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Finding the Third Proportional to 178,829 and 386,696

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Solution

The third proportional to 178,829 and 386,696 is: 836,183.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,829 : 386,696 = 386,696 : x
  2. Step 2: Convert to fraction form
    178,829/386,696 = 386,696/x
  3. Step 3: Cross multiply
    178,829x = 386,696 × 386,696
  4. Step 4: Simplify right side
    178,829x = 149,533,796,416
  5. Step 5: Solve for x
    x = 149,533,796,416/178,829
  6. Step 6: Final answer
    x = 836,183.15

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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.