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Finding the Third Proportional to 300,644,064 and 628,777,059.75

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Solution

The third proportional to 300,644,064 and 628,777,059.75 is: 1,315,045,391.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,644,064 : 628,777,059.75 = 628,777,059.75 : x
  2. Step 2: Convert to fraction form
    300,644,064/628,777,059.75 = 628,777,059.75/x
  3. Step 3: Cross multiply
    300,644,064x = 628,777,059.75 × 628,777,059.75
  4. Step 4: Simplify right side
    300,644,064x = 395,360,590,867,855,040
  5. Step 5: Solve for x
    x = 395,360,590,867,855,040/300,644,064
  6. Step 6: Final answer
    x = 1,315,045,391.58

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.