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Finding the Third Proportional to 138,003 and 297,147

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Solution

The third proportional to 138,003 and 297,147 is: 639,814.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,003 : 297,147 = 297,147 : x
  2. Step 2: Convert to fraction form
    138,003/297,147 = 297,147/x
  3. Step 3: Cross multiply
    138,003x = 297,147 × 297,147
  4. Step 4: Simplify right side
    138,003x = 88,296,339,609
  5. Step 5: Solve for x
    x = 88,296,339,609/138,003
  6. Step 6: Final answer
    x = 639,814.64

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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.