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Finding the Third Proportional to 436.75 and 822.88

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Solution

The third proportional to 436.75 and 822.88 is: 1,550.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.75 : 822.88 = 822.88 : x
  2. Step 2: Convert to fraction form
    436.75/822.88 = 822.88/x
  3. Step 3: Cross multiply
    436.75x = 822.88 × 822.88
  4. Step 4: Simplify right side
    436.75x = 677,123.27
  5. Step 5: Solve for x
    x = 677,123.27/436.75
  6. Step 6: Final answer
    x = 1,550.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.