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Finding the Third Proportional to 66,581 and 142,954

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Solution

The third proportional to 66,581 and 142,954 is: 306,932.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,581 : 142,954 = 142,954 : x
  2. Step 2: Convert to fraction form
    66,581/142,954 = 142,954/x
  3. Step 3: Cross multiply
    66,581x = 142,954 × 142,954
  4. Step 4: Simplify right side
    66,581x = 20,435,846,116
  5. Step 5: Solve for x
    x = 20,435,846,116/66,581
  6. Step 6: Final answer
    x = 306,932.10

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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.