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Finding the Third Proportional to 140,736 and 295,080

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Solution

The third proportional to 140,736 and 295,080 is: 618,691.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,736 : 295,080 = 295,080 : x
  2. Step 2: Convert to fraction form
    140,736/295,080 = 295,080/x
  3. Step 3: Cross multiply
    140,736x = 295,080 × 295,080
  4. Step 4: Simplify right side
    140,736x = 87,072,206,400
  5. Step 5: Solve for x
    x = 87,072,206,400/140,736
  6. Step 6: Final answer
    x = 618,691.78

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.