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Finding the Third Proportional to 300,211 and 456,503

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Solution

The third proportional to 300,211 and 456,503 is: 694,161.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,211 : 456,503 = 456,503 : x
  2. Step 2: Convert to fraction form
    300,211/456,503 = 456,503/x
  3. Step 3: Cross multiply
    300,211x = 456,503 × 456,503
  4. Step 4: Simplify right side
    300,211x = 208,394,989,009
  5. Step 5: Solve for x
    x = 208,394,989,009/300,211
  6. Step 6: Final answer
    x = 694,161.74

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.