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Finding the Third Proportional to 363,990 and 774,660

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Solution

The third proportional to 363,990 and 774,660 is: 1,648,666.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,990 : 774,660 = 774,660 : x
  2. Step 2: Convert to fraction form
    363,990/774,660 = 774,660/x
  3. Step 3: Cross multiply
    363,990x = 774,660 × 774,660
  4. Step 4: Simplify right side
    363,990x = 600,098,115,600
  5. Step 5: Solve for x
    x = 600,098,115,600/363,990
  6. Step 6: Final answer
    x = 1,648,666.49

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.