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Finding the Third Proportional to 138,674 and 298,094

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Solution

The third proportional to 138,674 and 298,094 is: 640,783.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,674 : 298,094 = 298,094 : x
  2. Step 2: Convert to fraction form
    138,674/298,094 = 298,094/x
  3. Step 3: Cross multiply
    138,674x = 298,094 × 298,094
  4. Step 4: Simplify right side
    138,674x = 88,860,032,836
  5. Step 5: Solve for x
    x = 88,860,032,836/138,674
  6. Step 6: Final answer
    x = 640,783.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.