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Finding the Third Proportional to 66,016 and 142,555

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Solution

The third proportional to 66,016 and 142,555 is: 307,833.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,016 : 142,555 = 142,555 : x
  2. Step 2: Convert to fraction form
    66,016/142,555 = 142,555/x
  3. Step 3: Cross multiply
    66,016x = 142,555 × 142,555
  4. Step 4: Simplify right side
    66,016x = 20,321,928,025
  5. Step 5: Solve for x
    x = 20,321,928,025/66,016
  6. Step 6: Final answer
    x = 307,833.37

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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.