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Finding the Third Proportional to 137,211 and 300,657

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Solution

The third proportional to 137,211 and 300,657 is: 658,800.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,211 : 300,657 = 300,657 : x
  2. Step 2: Convert to fraction form
    137,211/300,657 = 300,657/x
  3. Step 3: Cross multiply
    137,211x = 300,657 × 300,657
  4. Step 4: Simplify right side
    137,211x = 90,394,631,649
  5. Step 5: Solve for x
    x = 90,394,631,649/137,211
  6. Step 6: Final answer
    x = 658,800.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.