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Finding the Third Proportional to 679,137 and 919,059

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Solution

The third proportional to 679,137 and 919,059 is: 1,243,739.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    679,137 : 919,059 = 919,059 : x
  2. Step 2: Convert to fraction form
    679,137/919,059 = 919,059/x
  3. Step 3: Cross multiply
    679,137x = 919,059 × 919,059
  4. Step 4: Simplify right side
    679,137x = 844,669,445,481
  5. Step 5: Solve for x
    x = 844,669,445,481/679,137
  6. Step 6: Final answer
    x = 1,243,739.40

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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.