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Finding the Third Proportional to 154,420 and 335,408

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Solution

The third proportional to 154,420 and 335,408 is: 728,523.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,420 : 335,408 = 335,408 : x
  2. Step 2: Convert to fraction form
    154,420/335,408 = 335,408/x
  3. Step 3: Cross multiply
    154,420x = 335,408 × 335,408
  4. Step 4: Simplify right side
    154,420x = 112,498,526,464
  5. Step 5: Solve for x
    x = 112,498,526,464/154,420
  6. Step 6: Final answer
    x = 728,523.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.