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Finding the Third Proportional to 172.55 and 341.93

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Solution

The third proportional to 172.55 and 341.93 is: 677.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.55 : 341.93 = 341.93 : x
  2. Step 2: Convert to fraction form
    172.55/341.93 = 341.93/x
  3. Step 3: Cross multiply
    172.55x = 341.93 × 341.93
  4. Step 4: Simplify right side
    172.55x = 116,915.91
  5. Step 5: Solve for x
    x = 116,915.91/172.55
  6. Step 6: Final answer
    x = 677.59

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.