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Finding the Third Proportional to 378,161,211 and 822,579,774

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Solution

The third proportional to 378,161,211 and 822,579,774 is: 1,789,283,154.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,161,211 : 822,579,774 = 822,579,774 : x
  2. Step 2: Convert to fraction form
    378,161,211/822,579,774 = 822,579,774/x
  3. Step 3: Cross multiply
    378,161,211x = 822,579,774 × 822,579,774
  4. Step 4: Simplify right side
    378,161,211x = 676,637,484,593,891,072
  5. Step 5: Solve for x
    x = 676,637,484,593,891,072/378,161,211
  6. Step 6: Final answer
    x = 1,789,283,154.68

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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.