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Finding the Third Proportional to 140,462 and 306,172

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Solution

The third proportional to 140,462 and 306,172 is: 667,378.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,462 : 306,172 = 306,172 : x
  2. Step 2: Convert to fraction form
    140,462/306,172 = 306,172/x
  3. Step 3: Cross multiply
    140,462x = 306,172 × 306,172
  4. Step 4: Simplify right side
    140,462x = 93,741,293,584
  5. Step 5: Solve for x
    x = 93,741,293,584/140,462
  6. Step 6: Final answer
    x = 667,378.32

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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.