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Finding the Third Proportional to 154,221,138 and 205,605,243

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Solution

The third proportional to 154,221,138 and 205,605,243 is: 274,109,739.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,221,138 : 205,605,243 = 205,605,243 : x
  2. Step 2: Convert to fraction form
    154,221,138/205,605,243 = 205,605,243/x
  3. Step 3: Cross multiply
    154,221,138x = 205,605,243 × 205,605,243
  4. Step 4: Simplify right side
    154,221,138x = 42,273,515,949,089,048
  5. Step 5: Solve for x
    x = 42,273,515,949,089,048/154,221,138
  6. Step 6: Final answer
    x = 274,109,739.41

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.