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Finding the Third Proportional to 144,163 and 309,642

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Solution

The third proportional to 144,163 and 309,642 is: 665,067.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,163 : 309,642 = 309,642 : x
  2. Step 2: Convert to fraction form
    144,163/309,642 = 309,642/x
  3. Step 3: Cross multiply
    144,163x = 309,642 × 309,642
  4. Step 4: Simplify right side
    144,163x = 95,878,168,164
  5. Step 5: Solve for x
    x = 95,878,168,164/144,163
  6. Step 6: Final answer
    x = 665,067.79

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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.