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Finding the Third Proportional to 149,714 and 220,187

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Solution

The third proportional to 149,714 and 220,187 is: 323,832.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,714 : 220,187 = 220,187 : x
  2. Step 2: Convert to fraction form
    149,714/220,187 = 220,187/x
  3. Step 3: Cross multiply
    149,714x = 220,187 × 220,187
  4. Step 4: Simplify right side
    149,714x = 48,482,314,969
  5. Step 5: Solve for x
    x = 48,482,314,969/149,714
  6. Step 6: Final answer
    x = 323,832.87

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.