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Finding the Third Proportional to 366,989 and 778,083

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Solution

The third proportional to 366,989 and 778,083 is: 1,649,676.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,989 : 778,083 = 778,083 : x
  2. Step 2: Convert to fraction form
    366,989/778,083 = 778,083/x
  3. Step 3: Cross multiply
    366,989x = 778,083 × 778,083
  4. Step 4: Simplify right side
    366,989x = 605,413,154,889
  5. Step 5: Solve for x
    x = 605,413,154,889/366,989
  6. Step 6: Final answer
    x = 1,649,676.57

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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.