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Finding the Third Proportional to 236,685 and 511,278

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Solution

The third proportional to 236,685 and 511,278 is: 1,104,443.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,685 : 511,278 = 511,278 : x
  2. Step 2: Convert to fraction form
    236,685/511,278 = 511,278/x
  3. Step 3: Cross multiply
    236,685x = 511,278 × 511,278
  4. Step 4: Simplify right side
    236,685x = 261,405,193,284
  5. Step 5: Solve for x
    x = 261,405,193,284/236,685
  6. Step 6: Final answer
    x = 1,104,443.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.