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Finding the Third Proportional to 378,158,661 and 822,574,674

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Solution

The third proportional to 378,158,661 and 822,574,674 is: 1,789,273,032.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,158,661 : 822,574,674 = 822,574,674 : x
  2. Step 2: Convert to fraction form
    378,158,661/822,574,674 = 822,574,674/x
  3. Step 3: Cross multiply
    378,158,661x = 822,574,674 × 822,574,674
  4. Step 4: Simplify right side
    378,158,661x = 676,629,094,306,206,336
  5. Step 5: Solve for x
    x = 676,629,094,306,206,336/378,158,661
  6. Step 6: Final answer
    x = 1,789,273,032.96

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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.