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Finding the Third Proportional to 409,825,219 and 629,541,665.50

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Solution

The third proportional to 409,825,219 and 629,541,665.50 is: 967,053,002.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,825,219 : 629,541,665.50 = 629,541,665.50 : x
  2. Step 2: Convert to fraction form
    409,825,219/629,541,665.50 = 629,541,665.50/x
  3. Step 3: Cross multiply
    409,825,219x = 629,541,665.50 × 629,541,665.50
  4. Step 4: Simplify right side
    409,825,219x = 396,322,708,600,513,920
  5. Step 5: Solve for x
    x = 396,322,708,600,513,920/409,825,219
  6. Step 6: Final answer
    x = 967,053,002.66

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.