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Finding the Third Proportional to 782,852 and 1,089,286

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Solution

The third proportional to 782,852 and 1,089,286 is: 1,515,668.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,852 : 1,089,286 = 1,089,286 : x
  2. Step 2: Convert to fraction form
    782,852/1,089,286 = 1,089,286/x
  3. Step 3: Cross multiply
    782,852x = 1,089,286 × 1,089,286
  4. Step 4: Simplify right side
    782,852x = 1,186,543,989,796
  5. Step 5: Solve for x
    x = 1,186,543,989,796/782,852
  6. Step 6: Final answer
    x = 1,515,668.34

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.