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Finding the Third Proportional to 360,556.88 and 769,381.31

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Solution

The third proportional to 360,556.88 and 769,381.31 is: 1,641,759.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,556.88 : 769,381.31 = 769,381.31 : x
  2. Step 2: Convert to fraction form
    360,556.88/769,381.31 = 769,381.31/x
  3. Step 3: Cross multiply
    360,556.88x = 769,381.31 × 769,381.31
  4. Step 4: Simplify right side
    360,556.88x = 591,947,604,024.22
  5. Step 5: Solve for x
    x = 591,947,604,024.22/360,556.88
  6. Step 6: Final answer
    x = 1,641,759.30

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.