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Finding the Third Proportional to 280,962 and 621,012

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Solution

The third proportional to 280,962 and 621,012 is: 1,372,626.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,962 : 621,012 = 621,012 : x
  2. Step 2: Convert to fraction form
    280,962/621,012 = 621,012/x
  3. Step 3: Cross multiply
    280,962x = 621,012 × 621,012
  4. Step 4: Simplify right side
    280,962x = 385,655,904,144
  5. Step 5: Solve for x
    x = 385,655,904,144/280,962
  6. Step 6: Final answer
    x = 1,372,626.56

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.