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Finding the Third Proportional to 143,731 and 302,357

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Solution

The third proportional to 143,731 and 302,357 is: 636,047.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,731 : 302,357 = 302,357 : x
  2. Step 2: Convert to fraction form
    143,731/302,357 = 302,357/x
  3. Step 3: Cross multiply
    143,731x = 302,357 × 302,357
  4. Step 4: Simplify right side
    143,731x = 91,419,755,449
  5. Step 5: Solve for x
    x = 91,419,755,449/143,731
  6. Step 6: Final answer
    x = 636,047.59

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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.