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Finding the Third Proportional to 440.50 and 687.25

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Solution

The third proportional to 440.50 and 687.25 is: 1,072.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.50 : 687.25 = 687.25 : x
  2. Step 2: Convert to fraction form
    440.50/687.25 = 687.25/x
  3. Step 3: Cross multiply
    440.50x = 687.25 × 687.25
  4. Step 4: Simplify right side
    440.50x = 472,312.56
  5. Step 5: Solve for x
    x = 472,312.56/440.50
  6. Step 6: Final answer
    x = 1,072.22

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.