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Finding the Third Proportional to 275,296 and 420,840

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Solution

The third proportional to 275,296 and 420,840 is: 643,330.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,296 : 420,840 = 420,840 : x
  2. Step 2: Convert to fraction form
    275,296/420,840 = 420,840/x
  3. Step 3: Cross multiply
    275,296x = 420,840 × 420,840
  4. Step 4: Simplify right side
    275,296x = 177,106,305,600
  5. Step 5: Solve for x
    x = 177,106,305,600/275,296
  6. Step 6: Final answer
    x = 643,330.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.