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Finding the Third Proportional to 69,878 and 155,236

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Solution

The third proportional to 69,878 and 155,236 is: 344,861.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,878 : 155,236 = 155,236 : x
  2. Step 2: Convert to fraction form
    69,878/155,236 = 155,236/x
  3. Step 3: Cross multiply
    69,878x = 155,236 × 155,236
  4. Step 4: Simplify right side
    69,878x = 24,098,215,696
  5. Step 5: Solve for x
    x = 24,098,215,696/69,878
  6. Step 6: Final answer
    x = 344,861.27

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.