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Finding the Third Proportional to 397,269,389 and 620,043,126

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Solution

The third proportional to 397,269,389 and 620,043,126 is: 967,739,998.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,269,389 : 620,043,126 = 620,043,126 : x
  2. Step 2: Convert to fraction form
    397,269,389/620,043,126 = 620,043,126/x
  3. Step 3: Cross multiply
    397,269,389x = 620,043,126 × 620,043,126
  4. Step 4: Simplify right side
    397,269,389x = 384,453,478,099,851,904
  5. Step 5: Solve for x
    x = 384,453,478,099,851,904/397,269,389
  6. Step 6: Final answer
    x = 967,739,998.97

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.