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Finding the Third Proportional to 140,077 and 299,837

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Solution

The third proportional to 140,077 and 299,837 is: 641,805.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,077 : 299,837 = 299,837 : x
  2. Step 2: Convert to fraction form
    140,077/299,837 = 299,837/x
  3. Step 3: Cross multiply
    140,077x = 299,837 × 299,837
  4. Step 4: Simplify right side
    140,077x = 89,902,226,569
  5. Step 5: Solve for x
    x = 89,902,226,569/140,077
  6. Step 6: Final answer
    x = 641,805.77

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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.