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Finding the Third Proportional to 172.31 and 206.06

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Solution

The third proportional to 172.31 and 206.06 is: 246.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.31 : 206.06 = 206.06 : x
  2. Step 2: Convert to fraction form
    172.31/206.06 = 206.06/x
  3. Step 3: Cross multiply
    172.31x = 206.06 × 206.06
  4. Step 4: Simplify right side
    172.31x = 42,461.75
  5. Step 5: Solve for x
    x = 42,461.75/172.31
  6. Step 6: Final answer
    x = 246.42

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.