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Finding the Third Proportional to 172,666 and 407,023

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Solution

The third proportional to 172,666 and 407,023 is: 959,469.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,666 : 407,023 = 407,023 : x
  2. Step 2: Convert to fraction form
    172,666/407,023 = 407,023/x
  3. Step 3: Cross multiply
    172,666x = 407,023 × 407,023
  4. Step 4: Simplify right side
    172,666x = 165,667,722,529
  5. Step 5: Solve for x
    x = 165,667,722,529/172,666
  6. Step 6: Final answer
    x = 959,469.28

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.