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Finding the Third Proportional to 145.14 and 327.81

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Solution

The third proportional to 145.14 and 327.81 is: 740.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.14 : 327.81 = 327.81 : x
  2. Step 2: Convert to fraction form
    145.14/327.81 = 327.81/x
  3. Step 3: Cross multiply
    145.14x = 327.81 × 327.81
  4. Step 4: Simplify right side
    145.14x = 107,462.30
  5. Step 5: Solve for x
    x = 107,462.30/145.14
  6. Step 6: Final answer
    x = 740.41

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.