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Finding the Third Proportional to 207.72 and 436.80

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Solution

The third proportional to 207.72 and 436.80 is: 918.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.72 : 436.80 = 436.80 : x
  2. Step 2: Convert to fraction form
    207.72/436.80 = 436.80/x
  3. Step 3: Cross multiply
    207.72x = 436.80 × 436.80
  4. Step 4: Simplify right side
    207.72x = 190,793.22
  5. Step 5: Solve for x
    x = 190,793.22/207.72
  6. Step 6: Final answer
    x = 918.51

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.