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Finding the Third Proportional to 150,900 and 318,324

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Solution

The third proportional to 150,900 and 318,324 is: 671,505.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,900 : 318,324 = 318,324 : x
  2. Step 2: Convert to fraction form
    150,900/318,324 = 318,324/x
  3. Step 3: Cross multiply
    150,900x = 318,324 × 318,324
  4. Step 4: Simplify right side
    150,900x = 101,330,168,976
  5. Step 5: Solve for x
    x = 101,330,168,976/150,900
  6. Step 6: Final answer
    x = 671,505.43

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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.