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Finding the Third Proportional to 64,649,396 and 143,647,728

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Solution

The third proportional to 64,649,396 and 143,647,728 is: 319,178,074.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,649,396 : 143,647,728 = 143,647,728 : x
  2. Step 2: Convert to fraction form
    64,649,396/143,647,728 = 143,647,728/x
  3. Step 3: Cross multiply
    64,649,396x = 143,647,728 × 143,647,728
  4. Step 4: Simplify right side
    64,649,396x = 20,634,669,759,561,984
  5. Step 5: Solve for x
    x = 20,634,669,759,561,984/64,649,396
  6. Step 6: Final answer
    x = 319,178,074.91

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.