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Finding the Third Proportional to 143,741 and 302,381

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Solution

The third proportional to 143,741 and 302,381 is: 636,104.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,741 : 302,381 = 302,381 : x
  2. Step 2: Convert to fraction form
    143,741/302,381 = 302,381/x
  3. Step 3: Cross multiply
    143,741x = 302,381 × 302,381
  4. Step 4: Simplify right side
    143,741x = 91,434,269,161
  5. Step 5: Solve for x
    x = 91,434,269,161/143,741
  6. Step 6: Final answer
    x = 636,104.31

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.