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Finding the Third Proportional to 172.13 and 269.16

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Solution

The third proportional to 172.13 and 269.16 is: 420.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.13 : 269.16 = 269.16 : x
  2. Step 2: Convert to fraction form
    172.13/269.16 = 269.16/x
  3. Step 3: Cross multiply
    172.13x = 269.16 × 269.16
  4. Step 4: Simplify right side
    172.13x = 72,445.09
  5. Step 5: Solve for x
    x = 72,445.09/172.13
  6. Step 6: Final answer
    x = 420.89

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.