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Finding the Third Proportional to 427.56 and 669.75

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Solution

The third proportional to 427.56 and 669.75 is: 1,049.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.56 : 669.75 = 669.75 : x
  2. Step 2: Convert to fraction form
    427.56/669.75 = 669.75/x
  3. Step 3: Cross multiply
    427.56x = 669.75 × 669.75
  4. Step 4: Simplify right side
    427.56x = 448,565.06
  5. Step 5: Solve for x
    x = 448,565.06/427.56
  6. Step 6: Final answer
    x = 1,049.12

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.