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Finding the Third Proportional to 168,120 and 254,187

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Solution

The third proportional to 168,120 and 254,187 is: 384,314.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,120 : 254,187 = 254,187 : x
  2. Step 2: Convert to fraction form
    168,120/254,187 = 254,187/x
  3. Step 3: Cross multiply
    168,120x = 254,187 × 254,187
  4. Step 4: Simplify right side
    168,120x = 64,611,030,969
  5. Step 5: Solve for x
    x = 64,611,030,969/168,120
  6. Step 6: Final answer
    x = 384,314.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.