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Finding the Third Proportional to 43,640 and 69,213

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Solution

The third proportional to 43,640 and 69,213 is: 109,771.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,640 : 69,213 = 69,213 : x
  2. Step 2: Convert to fraction form
    43,640/69,213 = 69,213/x
  3. Step 3: Cross multiply
    43,640x = 69,213 × 69,213
  4. Step 4: Simplify right side
    43,640x = 4,790,439,369
  5. Step 5: Solve for x
    x = 4,790,439,369/43,640
  6. Step 6: Final answer
    x = 109,771.75

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.