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Finding the Third Proportional to 689,678,378 and 1,505,770,612

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Solution

The third proportional to 689,678,378 and 1,505,770,612 is: 3,287,539,827.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,678,378 : 1,505,770,612 = 1,505,770,612 : x
  2. Step 2: Convert to fraction form
    689,678,378/1,505,770,612 = 1,505,770,612/x
  3. Step 3: Cross multiply
    689,678,378x = 1,505,770,612 × 1,505,770,612
  4. Step 4: Simplify right side
    689,678,378x = 2,267,345,135,962,854,656
  5. Step 5: Solve for x
    x = 2,267,345,135,962,854,656/689,678,378
  6. Step 6: Final answer
    x = 3,287,539,827.68

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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.