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Finding the Third Proportional to 209,042.44 and 315,522.84

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Solution

The third proportional to 209,042.44 and 315,522.84 is: 476,241.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,042.44 : 315,522.84 = 315,522.84 : x
  2. Step 2: Convert to fraction form
    209,042.44/315,522.84 = 315,522.84/x
  3. Step 3: Cross multiply
    209,042.44x = 315,522.84 × 315,522.84
  4. Step 4: Simplify right side
    209,042.44x = 99,554,664,928.09
  5. Step 5: Solve for x
    x = 99,554,664,928.09/209,042.44
  6. Step 6: Final answer
    x = 476,241.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.