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Finding the Third Proportional to 213,652 and 309,462

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Solution

The third proportional to 213,652 and 309,462 is: 448,236.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,652 : 309,462 = 309,462 : x
  2. Step 2: Convert to fraction form
    213,652/309,462 = 309,462/x
  3. Step 3: Cross multiply
    213,652x = 309,462 × 309,462
  4. Step 4: Simplify right side
    213,652x = 95,766,729,444
  5. Step 5: Solve for x
    x = 95,766,729,444/213,652
  6. Step 6: Final answer
    x = 448,236.99

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.