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Finding the Third Proportional to 421,674 and 890,412

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Solution

The third proportional to 421,674 and 890,412 is: 1,880,204.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,674 : 890,412 = 890,412 : x
  2. Step 2: Convert to fraction form
    421,674/890,412 = 890,412/x
  3. Step 3: Cross multiply
    421,674x = 890,412 × 890,412
  4. Step 4: Simplify right side
    421,674x = 792,833,529,744
  5. Step 5: Solve for x
    x = 792,833,529,744/421,674
  6. Step 6: Final answer
    x = 1,880,204.92

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.