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Finding the Third Proportional to 334,392 and 677,424

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Solution

The third proportional to 334,392 and 677,424 is: 1,372,351.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,392 : 677,424 = 677,424 : x
  2. Step 2: Convert to fraction form
    334,392/677,424 = 677,424/x
  3. Step 3: Cross multiply
    334,392x = 677,424 × 677,424
  4. Step 4: Simplify right side
    334,392x = 458,903,275,776
  5. Step 5: Solve for x
    x = 458,903,275,776/334,392
  6. Step 6: Final answer
    x = 1,372,351.24

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.