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Finding the Third Proportional to 150,017 and 320,122

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Solution

The third proportional to 150,017 and 320,122 is: 683,109.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,017 : 320,122 = 320,122 : x
  2. Step 2: Convert to fraction form
    150,017/320,122 = 320,122/x
  3. Step 3: Cross multiply
    150,017x = 320,122 × 320,122
  4. Step 4: Simplify right side
    150,017x = 102,478,094,884
  5. Step 5: Solve for x
    x = 102,478,094,884/150,017
  6. Step 6: Final answer
    x = 683,109.88

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.