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Finding the Third Proportional to 351,912 and 821,280

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Solution

The third proportional to 351,912 and 821,280 is: 1,916,674.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,912 : 821,280 = 821,280 : x
  2. Step 2: Convert to fraction form
    351,912/821,280 = 821,280/x
  3. Step 3: Cross multiply
    351,912x = 821,280 × 821,280
  4. Step 4: Simplify right side
    351,912x = 674,500,838,400
  5. Step 5: Solve for x
    x = 674,500,838,400/351,912
  6. Step 6: Final answer
    x = 1,916,674.73

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.