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Finding the Third Proportional to 436.64 and 885.94

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Solution

The third proportional to 436.64 and 885.94 is: 1,797.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.64 : 885.94 = 885.94 : x
  2. Step 2: Convert to fraction form
    436.64/885.94 = 885.94/x
  3. Step 3: Cross multiply
    436.64x = 885.94 × 885.94
  4. Step 4: Simplify right side
    436.64x = 784,885.25
  5. Step 5: Solve for x
    x = 784,885.25/436.64
  6. Step 6: Final answer
    x = 1,797.55

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.