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Finding the Third Proportional to 44.30 and 68.77

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Solution

The third proportional to 44.30 and 68.77 is: 106.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.30 : 68.77 = 68.77 : x
  2. Step 2: Convert to fraction form
    44.30/68.77 = 68.77/x
  3. Step 3: Cross multiply
    44.30x = 68.77 × 68.77
  4. Step 4: Simplify right side
    44.30x = 4,728.71
  5. Step 5: Solve for x
    x = 4,728.71/44.30
  6. Step 6: Final answer
    x = 106.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.