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Finding the Third Proportional to 305.44 and 661.69

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Solution

The third proportional to 305.44 and 661.69 is: 1,433.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.44 : 661.69 = 661.69 : x
  2. Step 2: Convert to fraction form
    305.44/661.69 = 661.69/x
  3. Step 3: Cross multiply
    305.44x = 661.69 × 661.69
  4. Step 4: Simplify right side
    305.44x = 437,830.35
  5. Step 5: Solve for x
    x = 437,830.35/305.44
  6. Step 6: Final answer
    x = 1,433.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.