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Finding the Third Proportional to 299,290 and 646,057

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Solution

The third proportional to 299,290 and 646,057 is: 1,394,599.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,290 : 646,057 = 646,057 : x
  2. Step 2: Convert to fraction form
    299,290/646,057 = 646,057/x
  3. Step 3: Cross multiply
    299,290x = 646,057 × 646,057
  4. Step 4: Simplify right side
    299,290x = 417,389,647,249
  5. Step 5: Solve for x
    x = 417,389,647,249/299,290
  6. Step 6: Final answer
    x = 1,394,599.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.