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Finding the Third Proportional to 140,979 and 305,190

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Solution

The third proportional to 140,979 and 305,190 is: 660,672.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,979 : 305,190 = 305,190 : x
  2. Step 2: Convert to fraction form
    140,979/305,190 = 305,190/x
  3. Step 3: Cross multiply
    140,979x = 305,190 × 305,190
  4. Step 4: Simplify right side
    140,979x = 93,140,936,100
  5. Step 5: Solve for x
    x = 93,140,936,100/140,979
  6. Step 6: Final answer
    x = 660,672.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.