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Finding the Third Proportional to 66,633 and 143,147

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Solution

The third proportional to 66,633 and 143,147 is: 307,521.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,633 : 143,147 = 143,147 : x
  2. Step 2: Convert to fraction form
    66,633/143,147 = 143,147/x
  3. Step 3: Cross multiply
    66,633x = 143,147 × 143,147
  4. Step 4: Simplify right side
    66,633x = 20,491,063,609
  5. Step 5: Solve for x
    x = 20,491,063,609/66,633
  6. Step 6: Final answer
    x = 307,521.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.