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Finding the Third Proportional to 106.47 and 155.94

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Solution

The third proportional to 106.47 and 155.94 is: 228.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.47 : 155.94 = 155.94 : x
  2. Step 2: Convert to fraction form
    106.47/155.94 = 155.94/x
  3. Step 3: Cross multiply
    106.47x = 155.94 × 155.94
  4. Step 4: Simplify right side
    106.47x = 24,316.50
  5. Step 5: Solve for x
    x = 24,316.50/106.47
  6. Step 6: Final answer
    x = 228.39

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.