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Finding the Third Proportional to 240,302 and 511,663

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Solution

The third proportional to 240,302 and 511,663 is: 1,089,458.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,302 : 511,663 = 511,663 : x
  2. Step 2: Convert to fraction form
    240,302/511,663 = 511,663/x
  3. Step 3: Cross multiply
    240,302x = 511,663 × 511,663
  4. Step 4: Simplify right side
    240,302x = 261,799,025,569
  5. Step 5: Solve for x
    x = 261,799,025,569/240,302
  6. Step 6: Final answer
    x = 1,089,458.37

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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.