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Finding the Third Proportional to 65,909 and 80,813

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Solution

The third proportional to 65,909 and 80,813 is: 99,087.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,909 : 80,813 = 80,813 : x
  2. Step 2: Convert to fraction form
    65,909/80,813 = 80,813/x
  3. Step 3: Cross multiply
    65,909x = 80,813 × 80,813
  4. Step 4: Simplify right side
    65,909x = 6,530,740,969
  5. Step 5: Solve for x
    x = 6,530,740,969/65,909
  6. Step 6: Final answer
    x = 99,087.24

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Why These Related Problems?

These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.