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Finding the Third Proportional to 30.84 and 65.06

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Solution

The third proportional to 30.84 and 65.06 is: 137.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.84 : 65.06 = 65.06 : x
  2. Step 2: Convert to fraction form
    30.84/65.06 = 65.06/x
  3. Step 3: Cross multiply
    30.84x = 65.06 × 65.06
  4. Step 4: Simplify right side
    30.84x = 4,233.13
  5. Step 5: Solve for x
    x = 4,233.13/30.84
  6. Step 6: Final answer
    x = 137.24

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.