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Finding the Third Proportional to 70,256 and 150,349

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Solution

The third proportional to 70,256 and 150,349 is: 321,749.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,256 : 150,349 = 150,349 : x
  2. Step 2: Convert to fraction form
    70,256/150,349 = 150,349/x
  3. Step 3: Cross multiply
    70,256x = 150,349 × 150,349
  4. Step 4: Simplify right side
    70,256x = 22,604,821,801
  5. Step 5: Solve for x
    x = 22,604,821,801/70,256
  6. Step 6: Final answer
    x = 321,749.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.