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Finding the Third Proportional to 140,072 and 299,824

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Solution

The third proportional to 140,072 and 299,824 is: 641,773.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,072 : 299,824 = 299,824 : x
  2. Step 2: Convert to fraction form
    140,072/299,824 = 299,824/x
  3. Step 3: Cross multiply
    140,072x = 299,824 × 299,824
  4. Step 4: Simplify right side
    140,072x = 89,894,430,976
  5. Step 5: Solve for x
    x = 89,894,430,976/140,072
  6. Step 6: Final answer
    x = 641,773.02

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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.