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Finding the Third Proportional to 140,568 and 306,372

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Solution

The third proportional to 140,568 and 306,372 is: 667,746.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,568 : 306,372 = 306,372 : x
  2. Step 2: Convert to fraction form
    140,568/306,372 = 306,372/x
  3. Step 3: Cross multiply
    140,568x = 306,372 × 306,372
  4. Step 4: Simplify right side
    140,568x = 93,863,802,384
  5. Step 5: Solve for x
    x = 93,863,802,384/140,568
  6. Step 6: Final answer
    x = 667,746.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.