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Finding the Third Proportional to 180,639 and 372,211

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Solution

The third proportional to 180,639 and 372,211 is: 766,949.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,639 : 372,211 = 372,211 : x
  2. Step 2: Convert to fraction form
    180,639/372,211 = 372,211/x
  3. Step 3: Cross multiply
    180,639x = 372,211 × 372,211
  4. Step 4: Simplify right side
    180,639x = 138,541,028,521
  5. Step 5: Solve for x
    x = 138,541,028,521/180,639
  6. Step 6: Final answer
    x = 766,949.71

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.