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Finding the Third Proportional to 30 and 49.63

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Solution

The third proportional to 30 and 49.63 is: 82.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30 : 49.63 = 49.63 : x
  2. Step 2: Convert to fraction form
    30/49.63 = 49.63/x
  3. Step 3: Cross multiply
    30x = 49.63 × 49.63
  4. Step 4: Simplify right side
    30x = 2,462.64
  5. Step 5: Solve for x
    x = 2,462.64/30
  6. Step 6: Final answer
    x = 82.09

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.