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Finding the Third Proportional to 180,990 and 238,005

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Solution

The third proportional to 180,990 and 238,005 is: 312,980.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,990 : 238,005 = 238,005 : x
  2. Step 2: Convert to fraction form
    180,990/238,005 = 238,005/x
  3. Step 3: Cross multiply
    180,990x = 238,005 × 238,005
  4. Step 4: Simplify right side
    180,990x = 56,646,380,025
  5. Step 5: Solve for x
    x = 56,646,380,025/180,990
  6. Step 6: Final answer
    x = 312,980.72

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.