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Finding the Third Proportional to 436.88 and 553.94

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Solution

The third proportional to 436.88 and 553.94 is: 702.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.88 : 553.94 = 553.94 : x
  2. Step 2: Convert to fraction form
    436.88/553.94 = 553.94/x
  3. Step 3: Cross multiply
    436.88x = 553.94 × 553.94
  4. Step 4: Simplify right side
    436.88x = 306,846.75
  5. Step 5: Solve for x
    x = 306,846.75/436.88
  6. Step 6: Final answer
    x = 702.37

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.