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Finding the Third Proportional to 363,579 and 778,998

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Solution

The third proportional to 363,579 and 778,998 is: 1,669,067.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,579 : 778,998 = 778,998 : x
  2. Step 2: Convert to fraction form
    363,579/778,998 = 778,998/x
  3. Step 3: Cross multiply
    363,579x = 778,998 × 778,998
  4. Step 4: Simplify right side
    363,579x = 606,837,884,004
  5. Step 5: Solve for x
    x = 606,837,884,004/363,579
  6. Step 6: Final answer
    x = 1,669,067.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.