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Finding the Third Proportional to 140,714 and 299,881

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Solution

The third proportional to 140,714 and 299,881 is: 639,087.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,714 : 299,881 = 299,881 : x
  2. Step 2: Convert to fraction form
    140,714/299,881 = 299,881/x
  3. Step 3: Cross multiply
    140,714x = 299,881 × 299,881
  4. Step 4: Simplify right side
    140,714x = 89,928,614,161
  5. Step 5: Solve for x
    x = 89,928,614,161/140,714
  6. Step 6: Final answer
    x = 639,087.90

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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.