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Finding the Third Proportional to 378,993,199,970 and 842,723,870,220

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Solution

The third proportional to 378,993,199,970 and 842,723,870,220 is: 1,873,868,769,927.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,993,199,970 : 842,723,870,220 = 842,723,870,220 : x
  2. Step 2: Convert to fraction form
    378,993,199,970/842,723,870,220 = 842,723,870,220/x
  3. Step 3: Cross multiply
    378,993,199,970x = 842,723,870,220 × 842,723,870,220
  4. Step 4: Simplify right side
    378,993,199,970x = 710,183,521,438,575,347,367,936
  5. Step 5: Solve for x
    x = 710,183,521,438,575,347,367,936/378,993,199,970
  6. Step 6: Final answer
    x = 1,873,868,769,927.25

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.