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Finding the Third Proportional to 45,163 and 68,078

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Solution

The third proportional to 45,163 and 68,078 is: 102,619.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,163 : 68,078 = 68,078 : x
  2. Step 2: Convert to fraction form
    45,163/68,078 = 68,078/x
  3. Step 3: Cross multiply
    45,163x = 68,078 × 68,078
  4. Step 4: Simplify right side
    45,163x = 4,634,614,084
  5. Step 5: Solve for x
    x = 4,634,614,084/45,163
  6. Step 6: Final answer
    x = 102,619.71

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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.