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Finding the Third Proportional to 258,945,986 and 554,827,081

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Solution

The third proportional to 258,945,986 and 554,827,081 is: 1,188,792,668.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,945,986 : 554,827,081 = 554,827,081 : x
  2. Step 2: Convert to fraction form
    258,945,986/554,827,081 = 554,827,081/x
  3. Step 3: Cross multiply
    258,945,986x = 554,827,081 × 554,827,081
  4. Step 4: Simplify right side
    258,945,986x = 307,833,089,810,980,544
  5. Step 5: Solve for x
    x = 307,833,089,810,980,544/258,945,986
  6. Step 6: Final answer
    x = 1,188,792,668.95

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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.