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Finding the Third Proportional to 154,570.78 and 208,163.67

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Solution

The third proportional to 154,570.78 and 208,163.67 is: 280,338.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,570.78 : 208,163.67 = 208,163.67 : x
  2. Step 2: Convert to fraction form
    154,570.78/208,163.67 = 208,163.67/x
  3. Step 3: Cross multiply
    154,570.78x = 208,163.67 × 208,163.67
  4. Step 4: Simplify right side
    154,570.78x = 43,332,114,288.48
  5. Step 5: Solve for x
    x = 43,332,114,288.48/154,570.78
  6. Step 6: Final answer
    x = 280,338.33

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.