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Finding the Third Proportional to 299,870 and 620,961

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Solution

The third proportional to 299,870 and 620,961 is: 1,285,865.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,870 : 620,961 = 620,961 : x
  2. Step 2: Convert to fraction form
    299,870/620,961 = 620,961/x
  3. Step 3: Cross multiply
    299,870x = 620,961 × 620,961
  4. Step 4: Simplify right side
    299,870x = 385,592,563,521
  5. Step 5: Solve for x
    x = 385,592,563,521/299,870
  6. Step 6: Final answer
    x = 1,285,865.75

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.