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Finding the Third Proportional to 405,378 and 882,110

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Solution

The third proportional to 405,378 and 882,110 is: 1,919,487.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,378 : 882,110 = 882,110 : x
  2. Step 2: Convert to fraction form
    405,378/882,110 = 882,110/x
  3. Step 3: Cross multiply
    405,378x = 882,110 × 882,110
  4. Step 4: Simplify right side
    405,378x = 778,118,052,100
  5. Step 5: Solve for x
    x = 778,118,052,100/405,378
  6. Step 6: Final answer
    x = 1,919,487.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.