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Finding the Third Proportional to 68,852 and 145,975

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Solution

The third proportional to 68,852 and 145,975 is: 309,485.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,852 : 145,975 = 145,975 : x
  2. Step 2: Convert to fraction form
    68,852/145,975 = 145,975/x
  3. Step 3: Cross multiply
    68,852x = 145,975 × 145,975
  4. Step 4: Simplify right side
    68,852x = 21,308,700,625
  5. Step 5: Solve for x
    x = 21,308,700,625/68,852
  6. Step 6: Final answer
    x = 309,485.57

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.