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Finding the Third Proportional to 769,659,560 and 1,680,398,020

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Solution

The third proportional to 769,659,560 and 1,680,398,020 is: 3,668,813,657.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,659,560 : 1,680,398,020 = 1,680,398,020 : x
  2. Step 2: Convert to fraction form
    769,659,560/1,680,398,020 = 1,680,398,020/x
  3. Step 3: Cross multiply
    769,659,560x = 1,680,398,020 × 1,680,398,020
  4. Step 4: Simplify right side
    769,659,560x = 2,823,737,505,619,920,384
  5. Step 5: Solve for x
    x = 2,823,737,505,619,920,384/769,659,560
  6. Step 6: Final answer
    x = 3,668,813,657.85

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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.