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Finding the Third Proportional to 144.60 and 305.96

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Solution

The third proportional to 144.60 and 305.96 is: 647.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.60 : 305.96 = 305.96 : x
  2. Step 2: Convert to fraction form
    144.60/305.96 = 305.96/x
  3. Step 3: Cross multiply
    144.60x = 305.96 × 305.96
  4. Step 4: Simplify right side
    144.60x = 93,614.49
  5. Step 5: Solve for x
    x = 93,614.49/144.60
  6. Step 6: Final answer
    x = 647.41

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.