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Finding the Third Proportional to 215,634.75 and 313,410.38

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Solution

The third proportional to 215,634.75 and 313,410.38 is: 455,520.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,634.75 : 313,410.38 = 313,410.38 : x
  2. Step 2: Convert to fraction form
    215,634.75/313,410.38 = 313,410.38/x
  3. Step 3: Cross multiply
    215,634.75x = 313,410.38 × 313,410.38
  4. Step 4: Simplify right side
    215,634.75x = 98,226,063,157.64
  5. Step 5: Solve for x
    x = 98,226,063,157.64/215,634.75
  6. Step 6: Final answer
    x = 455,520.57

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.