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Finding the Third Proportional to 698,189,917 and 1,518,961,137

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Solution

The third proportional to 698,189,917 and 1,518,961,137 is: 3,304,606,496.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,189,917 : 1,518,961,137 = 1,518,961,137 : x
  2. Step 2: Convert to fraction form
    698,189,917/1,518,961,137 = 1,518,961,137/x
  3. Step 3: Cross multiply
    698,189,917x = 1,518,961,137 × 1,518,961,137
  4. Step 4: Simplify right side
    698,189,917x = 2,307,242,935,716,332,544
  5. Step 5: Solve for x
    x = 2,307,242,935,716,332,544/698,189,917
  6. Step 6: Final answer
    x = 3,304,606,496.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.