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Finding the Third Proportional to 209,046.38 and 315,528.75

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Solution

The third proportional to 209,046.38 and 315,528.75 is: 476,250.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,046.38 : 315,528.75 = 315,528.75 : x
  2. Step 2: Convert to fraction form
    209,046.38/315,528.75 = 315,528.75/x
  3. Step 3: Cross multiply
    209,046.38x = 315,528.75 × 315,528.75
  4. Step 4: Simplify right side
    209,046.38x = 99,558,392,076.56
  5. Step 5: Solve for x
    x = 99,558,392,076.56/209,046.38
  6. Step 6: Final answer
    x = 476,250.27

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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.