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Finding the Third Proportional to 420,219,938 and 628,013,845

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Solution

The third proportional to 420,219,938 and 628,013,845 is: 938,559,439.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,219,938 : 628,013,845 = 628,013,845 : x
  2. Step 2: Convert to fraction form
    420,219,938/628,013,845 = 628,013,845/x
  3. Step 3: Cross multiply
    420,219,938x = 628,013,845 × 628,013,845
  4. Step 4: Simplify right side
    420,219,938x = 394,401,389,511,684,032
  5. Step 5: Solve for x
    x = 394,401,389,511,684,032/420,219,938
  6. Step 6: Final answer
    x = 938,559,439.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.