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Finding the Third Proportional to 309,978,351,936 and 485,200,782,960

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Solution

The third proportional to 309,978,351,936 and 485,200,782,960 is: 759,471,744,767.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,978,351,936 : 485,200,782,960 = 485,200,782,960 : x
  2. Step 2: Convert to fraction form
    309,978,351,936/485,200,782,960 = 485,200,782,960/x
  3. Step 3: Cross multiply
    309,978,351,936x = 485,200,782,960 × 485,200,782,960
  4. Step 4: Simplify right side
    309,978,351,936x = 235,419,799,784,997,026,529,280
  5. Step 5: Solve for x
    x = 235,419,799,784,997,026,529,280/309,978,351,936
  6. Step 6: Final answer
    x = 759,471,744,767.53

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.