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Finding the Third Proportional to 144.07 and 214.95

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Solution

The third proportional to 144.07 and 214.95 is: 320.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.07 : 214.95 = 214.95 : x
  2. Step 2: Convert to fraction form
    144.07/214.95 = 214.95/x
  3. Step 3: Cross multiply
    144.07x = 214.95 × 214.95
  4. Step 4: Simplify right side
    144.07x = 46,201.49
  5. Step 5: Solve for x
    x = 46,201.49/144.07
  6. Step 6: Final answer
    x = 320.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.