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Finding the Third Proportional to 144,167 and 309,649

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Solution

The third proportional to 144,167 and 309,649 is: 665,079.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,167 : 309,649 = 309,649 : x
  2. Step 2: Convert to fraction form
    144,167/309,649 = 309,649/x
  3. Step 3: Cross multiply
    144,167x = 309,649 × 309,649
  4. Step 4: Simplify right side
    144,167x = 95,882,503,201
  5. Step 5: Solve for x
    x = 95,882,503,201/144,167
  6. Step 6: Final answer
    x = 665,079.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.