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Finding the Third Proportional to 338,918 and 705,907

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Solution

The third proportional to 338,918 and 705,907 is: 1,470,280.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,918 : 705,907 = 705,907 : x
  2. Step 2: Convert to fraction form
    338,918/705,907 = 705,907/x
  3. Step 3: Cross multiply
    338,918x = 705,907 × 705,907
  4. Step 4: Simplify right side
    338,918x = 498,304,692,649
  5. Step 5: Solve for x
    x = 498,304,692,649/338,918
  6. Step 6: Final answer
    x = 1,470,280.99

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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.