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Finding the Third Proportional to 307,912 and 461,868

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Solution

The third proportional to 307,912 and 461,868 is: 692,802

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,912 : 461,868 = 461,868 : x
  2. Step 2: Convert to fraction form
    307,912/461,868 = 461,868/x
  3. Step 3: Cross multiply
    307,912x = 461,868 × 461,868
  4. Step 4: Simplify right side
    307,912x = 213,322,049,424
  5. Step 5: Solve for x
    x = 213,322,049,424/307,912
  6. Step 6: Final answer
    x = 692,802

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.