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Finding the Third Proportional to 66,021 and 142,563

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Solution

The third proportional to 66,021 and 142,563 is: 307,844.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,021 : 142,563 = 142,563 : x
  2. Step 2: Convert to fraction form
    66,021/142,563 = 142,563/x
  3. Step 3: Cross multiply
    66,021x = 142,563 × 142,563
  4. Step 4: Simplify right side
    66,021x = 20,324,208,969
  5. Step 5: Solve for x
    x = 20,324,208,969/66,021
  6. Step 6: Final answer
    x = 307,844.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.