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Finding the Third Proportional to 30.70 and 65.11

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Solution

The third proportional to 30.70 and 65.11 is: 138.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.70 : 65.11 = 65.11 : x
  2. Step 2: Convert to fraction form
    30.70/65.11 = 65.11/x
  3. Step 3: Cross multiply
    30.70x = 65.11 × 65.11
  4. Step 4: Simplify right side
    30.70x = 4,239.63
  5. Step 5: Solve for x
    x = 4,239.63/30.70
  6. Step 6: Final answer
    x = 138.08

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.