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Finding the Third Proportional to 351,200 and 501,885

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Solution

The third proportional to 351,200 and 501,885 is: 717,222.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,200 : 501,885 = 501,885 : x
  2. Step 2: Convert to fraction form
    351,200/501,885 = 501,885/x
  3. Step 3: Cross multiply
    351,200x = 501,885 × 501,885
  4. Step 4: Simplify right side
    351,200x = 251,888,553,225
  5. Step 5: Solve for x
    x = 251,888,553,225/351,200
  6. Step 6: Final answer
    x = 717,222.53

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.