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Finding the Third Proportional to 106,569 and 142,174

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Solution

The third proportional to 106,569 and 142,174 is: 189,674.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,569 : 142,174 = 142,174 : x
  2. Step 2: Convert to fraction form
    106,569/142,174 = 142,174/x
  3. Step 3: Cross multiply
    106,569x = 142,174 × 142,174
  4. Step 4: Simplify right side
    106,569x = 20,213,446,276
  5. Step 5: Solve for x
    x = 20,213,446,276/106,569
  6. Step 6: Final answer
    x = 189,674.73

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.