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Finding the Third Proportional to 140,702 and 299,857

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Solution

The third proportional to 140,702 and 299,857 is: 639,040.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,702 : 299,857 = 299,857 : x
  2. Step 2: Convert to fraction form
    140,702/299,857 = 299,857/x
  3. Step 3: Cross multiply
    140,702x = 299,857 × 299,857
  4. Step 4: Simplify right side
    140,702x = 89,914,220,449
  5. Step 5: Solve for x
    x = 89,914,220,449/140,702
  6. Step 6: Final answer
    x = 639,040.10

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.