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Finding the Third Proportional to 259,287 and 554,538

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Solution

The third proportional to 259,287 and 554,538 is: 1,185,992.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,287 : 554,538 = 554,538 : x
  2. Step 2: Convert to fraction form
    259,287/554,538 = 554,538/x
  3. Step 3: Cross multiply
    259,287x = 554,538 × 554,538
  4. Step 4: Simplify right side
    259,287x = 307,512,393,444
  5. Step 5: Solve for x
    x = 307,512,393,444/259,287
  6. Step 6: Final answer
    x = 1,185,992.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.