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Finding the Third Proportional to 756.84 and 1,395.56

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Solution

The third proportional to 756.84 and 1,395.56 is: 2,573.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.84 : 1,395.56 = 1,395.56 : x
  2. Step 2: Convert to fraction form
    756.84/1,395.56 = 1,395.56/x
  3. Step 3: Cross multiply
    756.84x = 1,395.56 × 1,395.56
  4. Step 4: Simplify right side
    756.84x = 1,947,594.69
  5. Step 5: Solve for x
    x = 1,947,594.69/756.84
  6. Step 6: Final answer
    x = 2,573.31

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.