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Finding the Third Proportional to 30,969 and 69,975

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Solution

The third proportional to 30,969 and 69,975 is: 158,109.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,969 : 69,975 = 69,975 : x
  2. Step 2: Convert to fraction form
    30,969/69,975 = 69,975/x
  3. Step 3: Cross multiply
    30,969x = 69,975 × 69,975
  4. Step 4: Simplify right side
    30,969x = 4,896,500,625
  5. Step 5: Solve for x
    x = 4,896,500,625/30,969
  6. Step 6: Final answer
    x = 158,109.74

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.