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Finding the Third Proportional to 492,085 and 628,777

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Solution

The third proportional to 492,085 and 628,777 is: 803,439.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,085 : 628,777 = 628,777 : x
  2. Step 2: Convert to fraction form
    492,085/628,777 = 628,777/x
  3. Step 3: Cross multiply
    492,085x = 628,777 × 628,777
  4. Step 4: Simplify right side
    492,085x = 395,360,515,729
  5. Step 5: Solve for x
    x = 395,360,515,729/492,085
  6. Step 6: Final answer
    x = 803,439.48

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.