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Finding the Third Proportional to 918,263,850,912 and 1,989,326,494,062

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Solution

The third proportional to 918,263,850,912 and 1,989,326,494,062 is: 4,309,676,239,619.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    918,263,850,912 : 1,989,326,494,062 = 1,989,326,494,062 : x
  2. Step 2: Convert to fraction form
    918,263,850,912/1,989,326,494,062 = 1,989,326,494,062/x
  3. Step 3: Cross multiply
    918,263,850,912x = 1,989,326,494,062 × 1,989,326,494,062
  4. Step 4: Simplify right side
    918,263,850,912x = 3,957,419,899,977,008,475,537,408
  5. Step 5: Solve for x
    x = 3,957,419,899,977,008,475,537,408/918,263,850,912
  6. Step 6: Final answer
    x = 4,309,676,239,619.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.