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Finding the Third Proportional to 235,830 and 511,530

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Solution

The third proportional to 235,830 and 511,530 is: 1,109,540.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,830 : 511,530 = 511,530 : x
  2. Step 2: Convert to fraction form
    235,830/511,530 = 511,530/x
  3. Step 3: Cross multiply
    235,830x = 511,530 × 511,530
  4. Step 4: Simplify right side
    235,830x = 261,662,940,900
  5. Step 5: Solve for x
    x = 261,662,940,900/235,830
  6. Step 6: Final answer
    x = 1,109,540.52

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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.