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Finding the Third Proportional to 108.53 and 228.76

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Solution

The third proportional to 108.53 and 228.76 is: 482.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.53 : 228.76 = 228.76 : x
  2. Step 2: Convert to fraction form
    108.53/228.76 = 228.76/x
  3. Step 3: Cross multiply
    108.53x = 228.76 × 228.76
  4. Step 4: Simplify right side
    108.53x = 52,331.92
  5. Step 5: Solve for x
    x = 52,331.92/108.53
  6. Step 6: Final answer
    x = 482.20

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.