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Finding the Third Proportional to 361,990 and 779,216

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Solution

The third proportional to 361,990 and 779,216 is: 1,677,332.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,990 : 779,216 = 779,216 : x
  2. Step 2: Convert to fraction form
    361,990/779,216 = 779,216/x
  3. Step 3: Cross multiply
    361,990x = 779,216 × 779,216
  4. Step 4: Simplify right side
    361,990x = 607,177,574,656
  5. Step 5: Solve for x
    x = 607,177,574,656/361,990
  6. Step 6: Final answer
    x = 1,677,332.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.