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Finding the Third Proportional to 1,290,718,390 and 1,951,444,256

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Solution

The third proportional to 1,290,718,390 and 1,951,444,256 is: 2,950,399,338.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290,718,390 : 1,951,444,256 = 1,951,444,256 : x
  2. Step 2: Convert to fraction form
    1,290,718,390/1,951,444,256 = 1,951,444,256/x
  3. Step 3: Cross multiply
    1,290,718,390x = 1,951,444,256 × 1,951,444,256
  4. Step 4: Simplify right side
    1,290,718,390x = 3,808,134,684,275,393,536
  5. Step 5: Solve for x
    x = 3,808,134,684,275,393,536/1,290,718,390
  6. Step 6: Final answer
    x = 2,950,399,338.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.