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Finding the Third Proportional to 138,054 and 298,676

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Solution

The third proportional to 138,054 and 298,676 is: 646,177.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,054 : 298,676 = 298,676 : x
  2. Step 2: Convert to fraction form
    138,054/298,676 = 298,676/x
  3. Step 3: Cross multiply
    138,054x = 298,676 × 298,676
  4. Step 4: Simplify right side
    138,054x = 89,207,352,976
  5. Step 5: Solve for x
    x = 89,207,352,976/138,054
  6. Step 6: Final answer
    x = 646,177.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.