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Finding the Third Proportional to 387,272 and 850,912

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Solution

The third proportional to 387,272 and 850,912 is: 1,869,619.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,272 : 850,912 = 850,912 : x
  2. Step 2: Convert to fraction form
    387,272/850,912 = 850,912/x
  3. Step 3: Cross multiply
    387,272x = 850,912 × 850,912
  4. Step 4: Simplify right side
    387,272x = 724,051,231,744
  5. Step 5: Solve for x
    x = 724,051,231,744/387,272
  6. Step 6: Final answer
    x = 1,869,619.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.