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Finding the Third Proportional to 172.22 and 378.53

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Solution

The third proportional to 172.22 and 378.53 is: 832.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.22 : 378.53 = 378.53 : x
  2. Step 2: Convert to fraction form
    172.22/378.53 = 378.53/x
  3. Step 3: Cross multiply
    172.22x = 378.53 × 378.53
  4. Step 4: Simplify right side
    172.22x = 143,285.91
  5. Step 5: Solve for x
    x = 143,285.91/172.22
  6. Step 6: Final answer
    x = 832.00

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.