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Finding the Third Proportional to 280,242 and 426,843

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Solution

The third proportional to 280,242 and 426,843 is: 650,134.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,242 : 426,843 = 426,843 : x
  2. Step 2: Convert to fraction form
    280,242/426,843 = 426,843/x
  3. Step 3: Cross multiply
    280,242x = 426,843 × 426,843
  4. Step 4: Simplify right side
    280,242x = 182,194,946,649
  5. Step 5: Solve for x
    x = 182,194,946,649/280,242
  6. Step 6: Final answer
    x = 650,134.34

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.