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Finding the Third Proportional to 366,987 and 778,079

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Solution

The third proportional to 366,987 and 778,079 is: 1,649,668.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,987 : 778,079 = 778,079 : x
  2. Step 2: Convert to fraction form
    366,987/778,079 = 778,079/x
  3. Step 3: Cross multiply
    366,987x = 778,079 × 778,079
  4. Step 4: Simplify right side
    366,987x = 605,406,930,241
  5. Step 5: Solve for x
    x = 605,406,930,241/366,987
  6. Step 6: Final answer
    x = 1,649,668.60

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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.