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Finding the Third Proportional to 197,480 and 305,868

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Solution

The third proportional to 197,480 and 305,868 is: 473,745.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,480 : 305,868 = 305,868 : x
  2. Step 2: Convert to fraction form
    197,480/305,868 = 305,868/x
  3. Step 3: Cross multiply
    197,480x = 305,868 × 305,868
  4. Step 4: Simplify right side
    197,480x = 93,555,233,424
  5. Step 5: Solve for x
    x = 93,555,233,424/197,480
  6. Step 6: Final answer
    x = 473,745.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.