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Finding the Third Proportional to 145.38 and 214.56

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Solution

The third proportional to 145.38 and 214.56 is: 316.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.38 : 214.56 = 214.56 : x
  2. Step 2: Convert to fraction form
    145.38/214.56 = 214.56/x
  3. Step 3: Cross multiply
    145.38x = 214.56 × 214.56
  4. Step 4: Simplify right side
    145.38x = 46,037.07
  5. Step 5: Solve for x
    x = 46,037.07/145.38
  6. Step 6: Final answer
    x = 316.68

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.