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Finding the Third Proportional to 240,299 and 511,657

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Solution

The third proportional to 240,299 and 511,657 is: 1,089,446.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,299 : 511,657 = 511,657 : x
  2. Step 2: Convert to fraction form
    240,299/511,657 = 511,657/x
  3. Step 3: Cross multiply
    240,299x = 511,657 × 511,657
  4. Step 4: Simplify right side
    240,299x = 261,792,885,649
  5. Step 5: Solve for x
    x = 261,792,885,649/240,299
  6. Step 6: Final answer
    x = 1,089,446.42

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.