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Finding the Third Proportional to 299,913 and 450,738

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Solution

The third proportional to 299,913 and 450,738 is: 677,412.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,913 : 450,738 = 450,738 : x
  2. Step 2: Convert to fraction form
    299,913/450,738 = 450,738/x
  3. Step 3: Cross multiply
    299,913x = 450,738 × 450,738
  4. Step 4: Simplify right side
    299,913x = 203,164,744,644
  5. Step 5: Solve for x
    x = 203,164,744,644/299,913
  6. Step 6: Final answer
    x = 677,412.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.