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Finding the Third Proportional to 145.39 and 215.24

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Solution

The third proportional to 145.39 and 215.24 is: 318.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.39 : 215.24 = 215.24 : x
  2. Step 2: Convert to fraction form
    145.39/215.24 = 215.24/x
  3. Step 3: Cross multiply
    145.39x = 215.24 × 215.24
  4. Step 4: Simplify right side
    145.39x = 46,326.26
  5. Step 5: Solve for x
    x = 46,326.26/145.39
  6. Step 6: Final answer
    x = 318.64

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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.