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Finding the Third Proportional to 143.81 and 214.78

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Solution

The third proportional to 143.81 and 214.78 is: 320.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.81 : 214.78 = 214.78 : x
  2. Step 2: Convert to fraction form
    143.81/214.78 = 214.78/x
  3. Step 3: Cross multiply
    143.81x = 214.78 × 214.78
  4. Step 4: Simplify right side
    143.81x = 46,130.99
  5. Step 5: Solve for x
    x = 46,130.99/143.81
  6. Step 6: Final answer
    x = 320.77

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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.