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Finding the Third Proportional to 140,212 and 305,799

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Solution

The third proportional to 140,212 and 305,799 is: 666,940.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,212 : 305,799 = 305,799 : x
  2. Step 2: Convert to fraction form
    140,212/305,799 = 305,799/x
  3. Step 3: Cross multiply
    140,212x = 305,799 × 305,799
  4. Step 4: Simplify right side
    140,212x = 93,513,028,401
  5. Step 5: Solve for x
    x = 93,513,028,401/140,212
  6. Step 6: Final answer
    x = 666,940.26

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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.