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Finding the Third Proportional to 305.75 and 669.88

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Solution

The third proportional to 305.75 and 669.88 is: 1,467.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.75 : 669.88 = 669.88 : x
  2. Step 2: Convert to fraction form
    305.75/669.88 = 669.88/x
  3. Step 3: Cross multiply
    305.75x = 669.88 × 669.88
  4. Step 4: Simplify right side
    305.75x = 448,732.52
  5. Step 5: Solve for x
    x = 448,732.52/305.75
  6. Step 6: Final answer
    x = 1,467.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.