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Finding the Third Proportional to 108.56 and 156.66

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Solution

The third proportional to 108.56 and 156.66 is: 226.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.56 : 156.66 = 156.66 : x
  2. Step 2: Convert to fraction form
    108.56/156.66 = 156.66/x
  3. Step 3: Cross multiply
    108.56x = 156.66 × 156.66
  4. Step 4: Simplify right side
    108.56x = 24,541.18
  5. Step 5: Solve for x
    x = 24,541.18/108.56
  6. Step 6: Final answer
    x = 226.06

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.