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Finding the Third Proportional to 172,931 and 378,667

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Solution

The third proportional to 172,931 and 378,667 is: 829,167.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,931 : 378,667 = 378,667 : x
  2. Step 2: Convert to fraction form
    172,931/378,667 = 378,667/x
  3. Step 3: Cross multiply
    172,931x = 378,667 × 378,667
  4. Step 4: Simplify right side
    172,931x = 143,388,696,889
  5. Step 5: Solve for x
    x = 143,388,696,889/172,931
  6. Step 6: Final answer
    x = 829,167.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.