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Finding the Third Proportional to 305,678 and 670,408

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Solution

The third proportional to 305,678 and 670,408 is: 1,470,327.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,678 : 670,408 = 670,408 : x
  2. Step 2: Convert to fraction form
    305,678/670,408 = 670,408/x
  3. Step 3: Cross multiply
    305,678x = 670,408 × 670,408
  4. Step 4: Simplify right side
    305,678x = 449,446,886,464
  5. Step 5: Solve for x
    x = 449,446,886,464/305,678
  6. Step 6: Final answer
    x = 1,470,327.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.