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Finding the Third Proportional to 179,990 and 386,691

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Solution

The third proportional to 179,990 and 386,691 is: 830,767.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,990 : 386,691 = 386,691 : x
  2. Step 2: Convert to fraction form
    179,990/386,691 = 386,691/x
  3. Step 3: Cross multiply
    179,990x = 386,691 × 386,691
  4. Step 4: Simplify right side
    179,990x = 149,529,929,481
  5. Step 5: Solve for x
    x = 149,529,929,481/179,990
  6. Step 6: Final answer
    x = 830,767.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.