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Finding the Third Proportional to 195,138 and 405,584

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Solution

The third proportional to 195,138 and 405,584 is: 842,984.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,138 : 405,584 = 405,584 : x
  2. Step 2: Convert to fraction form
    195,138/405,584 = 405,584/x
  3. Step 3: Cross multiply
    195,138x = 405,584 × 405,584
  4. Step 4: Simplify right side
    195,138x = 164,498,381,056
  5. Step 5: Solve for x
    x = 164,498,381,056/195,138
  6. Step 6: Final answer
    x = 842,984.87

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.