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Finding the Third Proportional to 29.91 and 65.30

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Solution

The third proportional to 29.91 and 65.30 is: 142.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.91 : 65.30 = 65.30 : x
  2. Step 2: Convert to fraction form
    29.91/65.30 = 65.30/x
  3. Step 3: Cross multiply
    29.91x = 65.30 × 65.30
  4. Step 4: Simplify right side
    29.91x = 4,263.68
  5. Step 5: Solve for x
    x = 4,263.68/29.91
  6. Step 6: Final answer
    x = 142.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.