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Finding the Third Proportional to 140,080 and 299,843

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Solution

The third proportional to 140,080 and 299,843 is: 641,817.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,080 : 299,843 = 299,843 : x
  2. Step 2: Convert to fraction form
    140,080/299,843 = 299,843/x
  3. Step 3: Cross multiply
    140,080x = 299,843 × 299,843
  4. Step 4: Simplify right side
    140,080x = 89,905,824,649
  5. Step 5: Solve for x
    x = 89,905,824,649/140,080
  6. Step 6: Final answer
    x = 641,817.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.