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Finding the Third Proportional to 258,086 and 555,717

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Solution

The third proportional to 258,086 and 555,717 is: 1,196,583.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,086 : 555,717 = 555,717 : x
  2. Step 2: Convert to fraction form
    258,086/555,717 = 555,717/x
  3. Step 3: Cross multiply
    258,086x = 555,717 × 555,717
  4. Step 4: Simplify right side
    258,086x = 308,821,384,089
  5. Step 5: Solve for x
    x = 308,821,384,089/258,086
  6. Step 6: Final answer
    x = 1,196,583.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.