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Finding the Third Proportional to 361,132 and 777,760

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Solution

The third proportional to 361,132 and 777,760 is: 1,675,040.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,132 : 777,760 = 777,760 : x
  2. Step 2: Convert to fraction form
    361,132/777,760 = 777,760/x
  3. Step 3: Cross multiply
    361,132x = 777,760 × 777,760
  4. Step 4: Simplify right side
    361,132x = 604,910,617,600
  5. Step 5: Solve for x
    x = 604,910,617,600/361,132
  6. Step 6: Final answer
    x = 1,675,040.20

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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.