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Finding the Third Proportional to 135.30 and 215.10

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Solution

The third proportional to 135.30 and 215.10 is: 341.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.30 : 215.10 = 215.10 : x
  2. Step 2: Convert to fraction form
    135.30/215.10 = 215.10/x
  3. Step 3: Cross multiply
    135.30x = 215.10 × 215.10
  4. Step 4: Simplify right side
    135.30x = 46,266.69
  5. Step 5: Solve for x
    x = 46,266.69/135.30
  6. Step 6: Final answer
    x = 341.95

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.