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Finding the Third Proportional to 356.37 and 765.80

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Solution

The third proportional to 356.37 and 765.80 is: 1,645.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.37 : 765.80 = 765.80 : x
  2. Step 2: Convert to fraction form
    356.37/765.80 = 765.80/x
  3. Step 3: Cross multiply
    356.37x = 765.80 × 765.80
  4. Step 4: Simplify right side
    356.37x = 586,444.85
  5. Step 5: Solve for x
    x = 586,444.85/356.37
  6. Step 6: Final answer
    x = 1,645.62

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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.