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Finding the Third Proportional to 70,969 and 154,999

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Solution

The third proportional to 70,969 and 154,999 is: 338,523.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,969 : 154,999 = 154,999 : x
  2. Step 2: Convert to fraction form
    70,969/154,999 = 154,999/x
  3. Step 3: Cross multiply
    70,969x = 154,999 × 154,999
  4. Step 4: Simplify right side
    70,969x = 24,024,690,001
  5. Step 5: Solve for x
    x = 24,024,690,001/70,969
  6. Step 6: Final answer
    x = 338,523.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.