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Finding the Third Proportional to 338,878 and 705,848

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Solution

The third proportional to 338,878 and 705,848 is: 1,470,208.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,878 : 705,848 = 705,848 : x
  2. Step 2: Convert to fraction form
    338,878/705,848 = 705,848/x
  3. Step 3: Cross multiply
    338,878x = 705,848 × 705,848
  4. Step 4: Simplify right side
    338,878x = 498,221,399,104
  5. Step 5: Solve for x
    x = 498,221,399,104/338,878
  6. Step 6: Final answer
    x = 1,470,208.75

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.