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Finding the Third Proportional to 149.74 and 228.05

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Solution

The third proportional to 149.74 and 228.05 is: 347.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.74 : 228.05 = 228.05 : x
  2. Step 2: Convert to fraction form
    149.74/228.05 = 228.05/x
  3. Step 3: Cross multiply
    149.74x = 228.05 × 228.05
  4. Step 4: Simplify right side
    149.74x = 52,006.71
  5. Step 5: Solve for x
    x = 52,006.71/149.74
  6. Step 6: Final answer
    x = 347.32

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.