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Finding the Third Proportional to 368,091 and 778,623

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Solution

The third proportional to 368,091 and 778,623 is: 1,647,021.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,091 : 778,623 = 778,623 : x
  2. Step 2: Convert to fraction form
    368,091/778,623 = 778,623/x
  3. Step 3: Cross multiply
    368,091x = 778,623 × 778,623
  4. Step 4: Simplify right side
    368,091x = 606,253,776,129
  5. Step 5: Solve for x
    x = 606,253,776,129/368,091
  6. Step 6: Final answer
    x = 1,647,021.46

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.