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Finding the Third Proportional to 137.34 and 215.84

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Solution

The third proportional to 137.34 and 215.84 is: 339.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.34 : 215.84 = 215.84 : x
  2. Step 2: Convert to fraction form
    137.34/215.84 = 215.84/x
  3. Step 3: Cross multiply
    137.34x = 215.84 × 215.84
  4. Step 4: Simplify right side
    137.34x = 46,588.52
  5. Step 5: Solve for x
    x = 46,588.52/137.34
  6. Step 6: Final answer
    x = 339.21

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.