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Finding the Third Proportional to 647,757,983 and 1,398,731,908

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Solution

The third proportional to 647,757,983 and 1,398,731,908 is: 3,020,342,476.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,757,983 : 1,398,731,908 = 1,398,731,908 : x
  2. Step 2: Convert to fraction form
    647,757,983/1,398,731,908 = 1,398,731,908/x
  3. Step 3: Cross multiply
    647,757,983x = 1,398,731,908 × 1,398,731,908
  4. Step 4: Simplify right side
    647,757,983x = 1,956,450,950,457,320,448
  5. Step 5: Solve for x
    x = 1,956,450,950,457,320,448/647,757,983
  6. Step 6: Final answer
    x = 3,020,342,476.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.