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Finding the Third Proportional to 120,744 and 257,079

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Solution

The third proportional to 120,744 and 257,079 is: 547,353.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,744 : 257,079 = 257,079 : x
  2. Step 2: Convert to fraction form
    120,744/257,079 = 257,079/x
  3. Step 3: Cross multiply
    120,744x = 257,079 × 257,079
  4. Step 4: Simplify right side
    120,744x = 66,089,612,241
  5. Step 5: Solve for x
    x = 66,089,612,241/120,744
  6. Step 6: Final answer
    x = 547,353.18

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.