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Finding the Third Proportional to 405,270 and 938,205

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Solution

The third proportional to 405,270 and 938,205 is: 2,171,956.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,270 : 938,205 = 938,205 : x
  2. Step 2: Convert to fraction form
    405,270/938,205 = 938,205/x
  3. Step 3: Cross multiply
    405,270x = 938,205 × 938,205
  4. Step 4: Simplify right side
    405,270x = 880,228,622,025
  5. Step 5: Solve for x
    x = 880,228,622,025/405,270
  6. Step 6: Final answer
    x = 2,171,956.03

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.