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Finding the Third Proportional to 145.47 and 217.73

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Solution

The third proportional to 145.47 and 217.73 is: 325.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.47 : 217.73 = 217.73 : x
  2. Step 2: Convert to fraction form
    145.47/217.73 = 217.73/x
  3. Step 3: Cross multiply
    145.47x = 217.73 × 217.73
  4. Step 4: Simplify right side
    145.47x = 47,405.07
  5. Step 5: Solve for x
    x = 47,405.07/145.47
  6. Step 6: Final answer
    x = 325.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.