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Finding the Third Proportional to 172.55 and 304.17

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Solution

The third proportional to 172.55 and 304.17 is: 536.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.55 : 304.17 = 304.17 : x
  2. Step 2: Convert to fraction form
    172.55/304.17 = 304.17/x
  3. Step 3: Cross multiply
    172.55x = 304.17 × 304.17
  4. Step 4: Simplify right side
    172.55x = 92,520.53
  5. Step 5: Solve for x
    x = 92,520.53/172.55
  6. Step 6: Final answer
    x = 536.21

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.