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Finding the Third Proportional to 43,789 and 69,349

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Solution

The third proportional to 43,789 and 69,349 is: 109,828.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,789 : 69,349 = 69,349 : x
  2. Step 2: Convert to fraction form
    43,789/69,349 = 69,349/x
  3. Step 3: Cross multiply
    43,789x = 69,349 × 69,349
  4. Step 4: Simplify right side
    43,789x = 4,809,283,801
  5. Step 5: Solve for x
    x = 4,809,283,801/43,789
  6. Step 6: Final answer
    x = 109,828.58

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.