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Finding the Third Proportional to 3,489,290,332 and 5,236,489,932

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Solution

The third proportional to 3,489,290,332 and 5,236,489,932 is: 7,858,568,419.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,489,290,332 : 5,236,489,932 = 5,236,489,932 : x
  2. Step 2: Convert to fraction form
    3,489,290,332/5,236,489,932 = 5,236,489,932/x
  3. Step 3: Cross multiply
    3,489,290,332x = 5,236,489,932 × 5,236,489,932
  4. Step 4: Simplify right side
    3,489,290,332x = 27,420,826,807,937,363,968
  5. Step 5: Solve for x
    x = 27,420,826,807,937,363,968/3,489,290,332
  6. Step 6: Final answer
    x = 7,858,568,419.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.