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Finding the Third Proportional to 518,744 and 778,116

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Solution

The third proportional to 518,744 and 778,116 is: 1,167,174

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,744 : 778,116 = 778,116 : x
  2. Step 2: Convert to fraction form
    518,744/778,116 = 778,116/x
  3. Step 3: Cross multiply
    518,744x = 778,116 × 778,116
  4. Step 4: Simplify right side
    518,744x = 605,464,509,456
  5. Step 5: Solve for x
    x = 605,464,509,456/518,744
  6. Step 6: Final answer
    x = 1,167,174

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.