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Finding the Third Proportional to 203,920 and 439,088

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Solution

The third proportional to 203,920 and 439,088 is: 945,460.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,920 : 439,088 = 439,088 : x
  2. Step 2: Convert to fraction form
    203,920/439,088 = 439,088/x
  3. Step 3: Cross multiply
    203,920x = 439,088 × 439,088
  4. Step 4: Simplify right side
    203,920x = 192,798,271,744
  5. Step 5: Solve for x
    x = 192,798,271,744/203,920
  6. Step 6: Final answer
    x = 945,460.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.