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Finding the Third Proportional to 378,128,864 and 820,792,048

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Solution

The third proportional to 378,128,864 and 820,792,048 is: 1,781,666,649.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,128,864 : 820,792,048 = 820,792,048 : x
  2. Step 2: Convert to fraction form
    378,128,864/820,792,048 = 820,792,048/x
  3. Step 3: Cross multiply
    378,128,864x = 820,792,048 × 820,792,048
  4. Step 4: Simplify right side
    378,128,864x = 673,699,586,060,034,304
  5. Step 5: Solve for x
    x = 673,699,586,060,034,304/378,128,864
  6. Step 6: Final answer
    x = 1,781,666,649.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.