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Finding the Third Proportional to 150,003 and 316,868

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Solution

The third proportional to 150,003 and 316,868 is: 669,355.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,003 : 316,868 = 316,868 : x
  2. Step 2: Convert to fraction form
    150,003/316,868 = 316,868/x
  3. Step 3: Cross multiply
    150,003x = 316,868 × 316,868
  4. Step 4: Simplify right side
    150,003x = 100,405,329,424
  5. Step 5: Solve for x
    x = 100,405,329,424/150,003
  6. Step 6: Final answer
    x = 669,355.48

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.