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Finding the Third Proportional to 490,314,996,126 and 690,170,682,400

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Solution

The third proportional to 490,314,996,126 and 690,170,682,400 is: 971,488,888,995.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,314,996,126 : 690,170,682,400 = 690,170,682,400 : x
  2. Step 2: Convert to fraction form
    490,314,996,126/690,170,682,400 = 690,170,682,400/x
  3. Step 3: Cross multiply
    490,314,996,126x = 690,170,682,400 × 690,170,682,400
  4. Step 4: Simplify right side
    490,314,996,126x = 476,335,570,844,481,648,328,704
  5. Step 5: Solve for x
    x = 476,335,570,844,481,648,328,704/490,314,996,126
  6. Step 6: Final answer
    x = 971,488,888,995.91

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.