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Finding the Third Proportional to 66,759 and 142,995

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Solution

The third proportional to 66,759 and 142,995 is: 306,289.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,759 : 142,995 = 142,995 : x
  2. Step 2: Convert to fraction form
    66,759/142,995 = 142,995/x
  3. Step 3: Cross multiply
    66,759x = 142,995 × 142,995
  4. Step 4: Simplify right side
    66,759x = 20,447,570,025
  5. Step 5: Solve for x
    x = 20,447,570,025/66,759
  6. Step 6: Final answer
    x = 306,289.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.