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Finding the Third Proportional to 156.16 and 171.16

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Solution

The third proportional to 156.16 and 171.16 is: 187.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.16 : 171.16 = 171.16 : x
  2. Step 2: Convert to fraction form
    156.16/171.16 = 171.16/x
  3. Step 3: Cross multiply
    156.16x = 171.16 × 171.16
  4. Step 4: Simplify right side
    156.16x = 29,294.46
  5. Step 5: Solve for x
    x = 29,294.46/156.16
  6. Step 6: Final answer
    x = 187.60

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.