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Finding the Third Proportional to 397,269,343.50 and 620,043,062.25

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Solution

The third proportional to 397,269,343.50 and 620,043,062.25 is: 967,739,910.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,269,343.50 : 620,043,062.25 = 620,043,062.25 : x
  2. Step 2: Convert to fraction form
    397,269,343.50/620,043,062.25 = 620,043,062.25/x
  3. Step 3: Cross multiply
    397,269,343.50x = 620,043,062.25 × 620,043,062.25
  4. Step 4: Simplify right side
    397,269,343.50x = 384,453,399,044,357,376
  5. Step 5: Solve for x
    x = 384,453,399,044,357,376/397,269,343.50
  6. Step 6: Final answer
    x = 967,739,910.81

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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.