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Finding the Third Proportional to 378,128,868 and 820,792,056

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Solution

The third proportional to 378,128,868 and 820,792,056 is: 1,781,666,665.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,128,868 : 820,792,056 = 820,792,056 : x
  2. Step 2: Convert to fraction form
    378,128,868/820,792,056 = 820,792,056/x
  3. Step 3: Cross multiply
    378,128,868x = 820,792,056 × 820,792,056
  4. Step 4: Simplify right side
    378,128,868x = 673,699,599,192,707,072
  5. Step 5: Solve for x
    x = 673,699,599,192,707,072/378,128,868
  6. Step 6: Final answer
    x = 1,781,666,665.01

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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.