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Finding the Third Proportional to 405,170 and 938,000

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Solution

The third proportional to 405,170 and 938,000 is: 2,171,542.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,170 : 938,000 = 938,000 : x
  2. Step 2: Convert to fraction form
    405,170/938,000 = 938,000/x
  3. Step 3: Cross multiply
    405,170x = 938,000 × 938,000
  4. Step 4: Simplify right side
    405,170x = 879,844,000,000
  5. Step 5: Solve for x
    x = 879,844,000,000/405,170
  6. Step 6: Final answer
    x = 2,171,542.81

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.