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Finding the Third Proportional to 30.30 and 45.61

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Solution

The third proportional to 30.30 and 45.61 is: 68.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.30 : 45.61 = 45.61 : x
  2. Step 2: Convert to fraction form
    30.30/45.61 = 45.61/x
  3. Step 3: Cross multiply
    30.30x = 45.61 × 45.61
  4. Step 4: Simplify right side
    30.30x = 2,080.22
  5. Step 5: Solve for x
    x = 2,080.22/30.30
  6. Step 6: Final answer
    x = 68.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.