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Finding the Third Proportional to 490,314,996,117 and 690,170,682,388.50

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Solution

The third proportional to 490,314,996,117 and 690,170,682,388.50 is: 971,488,888,981.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,314,996,117 : 690,170,682,388.50 = 690,170,682,388.50 : x
  2. Step 2: Convert to fraction form
    490,314,996,117/690,170,682,388.50 = 690,170,682,388.50/x
  3. Step 3: Cross multiply
    490,314,996,117x = 690,170,682,388.50 × 690,170,682,388.50
  4. Step 4: Simplify right side
    490,314,996,117x = 476,335,570,828,607,717,638,144
  5. Step 5: Solve for x
    x = 476,335,570,828,607,717,638,144/490,314,996,117
  6. Step 6: Final answer
    x = 971,488,888,981.37

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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.