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Finding the Third Proportional to 361,596 and 778,686

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Solution

The third proportional to 361,596 and 778,686 is: 1,676,876.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,596 : 778,686 = 778,686 : x
  2. Step 2: Convert to fraction form
    361,596/778,686 = 778,686/x
  3. Step 3: Cross multiply
    361,596x = 778,686 × 778,686
  4. Step 4: Simplify right side
    361,596x = 606,351,886,596
  5. Step 5: Solve for x
    x = 606,351,886,596/361,596
  6. Step 6: Final answer
    x = 1,676,876.64

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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.