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Finding the Third Proportional to 776,838,219 and 1,664,481,729

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Solution

The third proportional to 776,838,219 and 1,664,481,729 is: 3,566,378,891.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,838,219 : 1,664,481,729 = 1,664,481,729 : x
  2. Step 2: Convert to fraction form
    776,838,219/1,664,481,729 = 1,664,481,729/x
  3. Step 3: Cross multiply
    776,838,219x = 1,664,481,729 × 1,664,481,729
  4. Step 4: Simplify right side
    776,838,219x = 2,770,499,426,174,829,568
  5. Step 5: Solve for x
    x = 2,770,499,426,174,829,568/776,838,219
  6. Step 6: Final answer
    x = 3,566,378,891.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.