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Finding the Third Proportional to 233,787 and 511,311

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Solution

The third proportional to 233,787 and 511,311 is: 1,118,278.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,787 : 511,311 = 511,311 : x
  2. Step 2: Convert to fraction form
    233,787/511,311 = 511,311/x
  3. Step 3: Cross multiply
    233,787x = 511,311 × 511,311
  4. Step 4: Simplify right side
    233,787x = 261,438,938,721
  5. Step 5: Solve for x
    x = 261,438,938,721/233,787
  6. Step 6: Final answer
    x = 1,118,278.34

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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.