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Finding the Third Proportional to 120.80 and 172.58

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Solution

The third proportional to 120.80 and 172.58 is: 246.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.80 : 172.58 = 172.58 : x
  2. Step 2: Convert to fraction form
    120.80/172.58 = 172.58/x
  3. Step 3: Cross multiply
    120.80x = 172.58 × 172.58
  4. Step 4: Simplify right side
    120.80x = 29,784.56
  5. Step 5: Solve for x
    x = 29,784.56/120.80
  6. Step 6: Final answer
    x = 246.57

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.