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Finding the Third Proportional to 689,678,376 and 1,505,770,608

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Solution

The third proportional to 689,678,376 and 1,505,770,608 is: 3,287,539,819.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,678,376 : 1,505,770,608 = 1,505,770,608 : x
  2. Step 2: Convert to fraction form
    689,678,376/1,505,770,608 = 1,505,770,608/x
  3. Step 3: Cross multiply
    689,678,376x = 1,505,770,608 × 1,505,770,608
  4. Step 4: Simplify right side
    689,678,376x = 2,267,345,123,916,689,664
  5. Step 5: Solve for x
    x = 2,267,345,123,916,689,664/689,678,376
  6. Step 6: Final answer
    x = 3,287,539,819.74

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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.