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Finding the Third Proportional to 138,474 and 298,008

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Solution

The third proportional to 138,474 and 298,008 is: 641,338.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,474 : 298,008 = 298,008 : x
  2. Step 2: Convert to fraction form
    138,474/298,008 = 298,008/x
  3. Step 3: Cross multiply
    138,474x = 298,008 × 298,008
  4. Step 4: Simplify right side
    138,474x = 88,808,768,064
  5. Step 5: Solve for x
    x = 88,808,768,064/138,474
  6. Step 6: Final answer
    x = 641,338.94

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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.