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Finding the Third Proportional to 145,781.44 and 313,704.56

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Solution

The third proportional to 145,781.44 and 313,704.56 is: 675,055.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,781.44 : 313,704.56 = 313,704.56 : x
  2. Step 2: Convert to fraction form
    145,781.44/313,704.56 = 313,704.56/x
  3. Step 3: Cross multiply
    145,781.44x = 313,704.56 × 313,704.56
  4. Step 4: Simplify right side
    145,781.44x = 98,410,552,533.32
  5. Step 5: Solve for x
    x = 98,410,552,533.32/145,781.44
  6. Step 6: Final answer
    x = 675,055.44

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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.