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Finding the Third Proportional to 143,961 and 336,309

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Solution

The third proportional to 143,961 and 336,309 is: 785,655.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,961 : 336,309 = 336,309 : x
  2. Step 2: Convert to fraction form
    143,961/336,309 = 336,309/x
  3. Step 3: Cross multiply
    143,961x = 336,309 × 336,309
  4. Step 4: Simplify right side
    143,961x = 113,103,743,481
  5. Step 5: Solve for x
    x = 113,103,743,481/143,961
  6. Step 6: Final answer
    x = 785,655.44

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.