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Finding the Third Proportional to 43,678 and 69,272

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Solution

The third proportional to 43,678 and 69,272 is: 109,863.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,678 : 69,272 = 69,272 : x
  2. Step 2: Convert to fraction form
    43,678/69,272 = 69,272/x
  3. Step 3: Cross multiply
    43,678x = 69,272 × 69,272
  4. Step 4: Simplify right side
    43,678x = 4,798,609,984
  5. Step 5: Solve for x
    x = 4,798,609,984/43,678
  6. Step 6: Final answer
    x = 109,863.32

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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.