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Finding the Third Proportional to 172.75 and 372.63

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Solution

The third proportional to 172.75 and 372.63 is: 803.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.75 : 372.63 = 372.63 : x
  2. Step 2: Convert to fraction form
    172.75/372.63 = 372.63/x
  3. Step 3: Cross multiply
    172.75x = 372.63 × 372.63
  4. Step 4: Simplify right side
    172.75x = 138,849.39
  5. Step 5: Solve for x
    x = 138,849.39/172.75
  6. Step 6: Final answer
    x = 803.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.