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Finding the Third Proportional to 45,770 and 66,555

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Solution

The third proportional to 45,770 and 66,555 is: 96,778.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,770 : 66,555 = 66,555 : x
  2. Step 2: Convert to fraction form
    45,770/66,555 = 66,555/x
  3. Step 3: Cross multiply
    45,770x = 66,555 × 66,555
  4. Step 4: Simplify right side
    45,770x = 4,429,568,025
  5. Step 5: Solve for x
    x = 4,429,568,025/45,770
  6. Step 6: Final answer
    x = 96,778.85

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.