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Finding the Third Proportional to 143,824 and 313,894

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Solution

The third proportional to 143,824 and 313,894 is: 685,069.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,824 : 313,894 = 313,894 : x
  2. Step 2: Convert to fraction form
    143,824/313,894 = 313,894/x
  3. Step 3: Cross multiply
    143,824x = 313,894 × 313,894
  4. Step 4: Simplify right side
    143,824x = 98,529,443,236
  5. Step 5: Solve for x
    x = 98,529,443,236/143,824
  6. Step 6: Final answer
    x = 685,069.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.