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Finding the Third Proportional to 197,138.81 and 308,847.94

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Solution

The third proportional to 197,138.81 and 308,847.94 is: 483,857.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,138.81 : 308,847.94 = 308,847.94 : x
  2. Step 2: Convert to fraction form
    197,138.81/308,847.94 = 308,847.94/x
  3. Step 3: Cross multiply
    197,138.81x = 308,847.94 × 308,847.94
  4. Step 4: Simplify right side
    197,138.81x = 95,387,048,498.00
  5. Step 5: Solve for x
    x = 95,387,048,498.00/197,138.81
  6. Step 6: Final answer
    x = 483,857.27

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.