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Finding the Third Proportional to 235,579 and 511,307

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Solution

The third proportional to 235,579 and 511,307 is: 1,109,754.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,579 : 511,307 = 511,307 : x
  2. Step 2: Convert to fraction form
    235,579/511,307 = 511,307/x
  3. Step 3: Cross multiply
    235,579x = 511,307 × 511,307
  4. Step 4: Simplify right side
    235,579x = 261,434,848,249
  5. Step 5: Solve for x
    x = 261,434,848,249/235,579
  6. Step 6: Final answer
    x = 1,109,754.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.