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Finding the Third Proportional to 335,448 and 455,812

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Solution

The third proportional to 335,448 and 455,812 is: 619,364.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,448 : 455,812 = 455,812 : x
  2. Step 2: Convert to fraction form
    335,448/455,812 = 455,812/x
  3. Step 3: Cross multiply
    335,448x = 455,812 × 455,812
  4. Step 4: Simplify right side
    335,448x = 207,764,579,344
  5. Step 5: Solve for x
    x = 207,764,579,344/335,448
  6. Step 6: Final answer
    x = 619,364.49

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.