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Finding the Third Proportional to 490,314,996,121 and 690,170,682,394

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Solution

The third proportional to 490,314,996,121 and 690,170,682,394 is: 971,488,888,988.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,314,996,121 : 690,170,682,394 = 690,170,682,394 : x
  2. Step 2: Convert to fraction form
    490,314,996,121/690,170,682,394 = 690,170,682,394/x
  3. Step 3: Cross multiply
    490,314,996,121x = 690,170,682,394 × 690,170,682,394
  4. Step 4: Simplify right side
    490,314,996,121x = 476,335,570,836,199,609,204,736
  5. Step 5: Solve for x
    x = 476,335,570,836,199,609,204,736/490,314,996,121
  6. Step 6: Final answer
    x = 971,488,888,988.93

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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.