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Finding the Third Proportional to 69,878 and 104,865

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Solution

The third proportional to 69,878 and 104,865 is: 157,369.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,878 : 104,865 = 104,865 : x
  2. Step 2: Convert to fraction form
    69,878/104,865 = 104,865/x
  3. Step 3: Cross multiply
    69,878x = 104,865 × 104,865
  4. Step 4: Simplify right side
    69,878x = 10,996,668,225
  5. Step 5: Solve for x
    x = 10,996,668,225/69,878
  6. Step 6: Final answer
    x = 157,369.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.