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Finding the Third Proportional to 130,180 and 263,977

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Solution

The third proportional to 130,180 and 263,977 is: 535,288.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,180 : 263,977 = 263,977 : x
  2. Step 2: Convert to fraction form
    130,180/263,977 = 263,977/x
  3. Step 3: Cross multiply
    130,180x = 263,977 × 263,977
  4. Step 4: Simplify right side
    130,180x = 69,683,856,529
  5. Step 5: Solve for x
    x = 69,683,856,529/130,180
  6. Step 6: Final answer
    x = 535,288.50

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.