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Finding the Third Proportional to 436.75 and 909.13

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Solution

The third proportional to 436.75 and 909.13 is: 1,892.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.75 : 909.13 = 909.13 : x
  2. Step 2: Convert to fraction form
    436.75/909.13 = 909.13/x
  3. Step 3: Cross multiply
    436.75x = 909.13 × 909.13
  4. Step 4: Simplify right side
    436.75x = 826,508.27
  5. Step 5: Solve for x
    x = 826,508.27/436.75
  6. Step 6: Final answer
    x = 1,892.41

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.