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Finding the Third Proportional to 172.34 and 275.17

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Solution

The third proportional to 172.34 and 275.17 is: 439.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.34 : 275.17 = 275.17 : x
  2. Step 2: Convert to fraction form
    172.34/275.17 = 275.17/x
  3. Step 3: Cross multiply
    172.34x = 275.17 × 275.17
  4. Step 4: Simplify right side
    172.34x = 75,717.41
  5. Step 5: Solve for x
    x = 75,717.41/172.34
  6. Step 6: Final answer
    x = 439.36

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.