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Finding the Third Proportional to 300,374 and 419,943

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Solution

The third proportional to 300,374 and 419,943 is: 587,108.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,374 : 419,943 = 419,943 : x
  2. Step 2: Convert to fraction form
    300,374/419,943 = 419,943/x
  3. Step 3: Cross multiply
    300,374x = 419,943 × 419,943
  4. Step 4: Simplify right side
    300,374x = 176,352,123,249
  5. Step 5: Solve for x
    x = 176,352,123,249/300,374
  6. Step 6: Final answer
    x = 587,108.48

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.