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Finding the Third Proportional to 679,200 and 919,122

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Solution

The third proportional to 679,200 and 919,122 is: 1,243,794.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    679,200 : 919,122 = 919,122 : x
  2. Step 2: Convert to fraction form
    679,200/919,122 = 919,122/x
  3. Step 3: Cross multiply
    679,200x = 919,122 × 919,122
  4. Step 4: Simplify right side
    679,200x = 844,785,250,884
  5. Step 5: Solve for x
    x = 844,785,250,884/679,200
  6. Step 6: Final answer
    x = 1,243,794.54

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.