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Finding the Third Proportional to 254,738,802.25 and 555,592,571.75

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Solution

The third proportional to 254,738,802.25 and 555,592,571.75 is: 1,211,763,198.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,738,802.25 : 555,592,571.75 = 555,592,571.75 : x
  2. Step 2: Convert to fraction form
    254,738,802.25/555,592,571.75 = 555,592,571.75/x
  3. Step 3: Cross multiply
    254,738,802.25x = 555,592,571.75 × 555,592,571.75
  4. Step 4: Simplify right side
    254,738,802.25x = 308,683,105,783,778,880
  5. Step 5: Solve for x
    x = 308,683,105,783,778,880/254,738,802.25
  6. Step 6: Final answer
    x = 1,211,763,198.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.