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Finding the Third Proportional to 387,880 and 853,519

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Solution

The third proportional to 387,880 and 853,519 is: 1,878,144.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,880 : 853,519 = 853,519 : x
  2. Step 2: Convert to fraction form
    387,880/853,519 = 853,519/x
  3. Step 3: Cross multiply
    387,880x = 853,519 × 853,519
  4. Step 4: Simplify right side
    387,880x = 728,494,683,361
  5. Step 5: Solve for x
    x = 728,494,683,361/387,880
  6. Step 6: Final answer
    x = 1,878,144.49

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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.