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Finding the Third Proportional to 304.43 and 483.97

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Solution

The third proportional to 304.43 and 483.97 is: 769.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.43 : 483.97 = 483.97 : x
  2. Step 2: Convert to fraction form
    304.43/483.97 = 483.97/x
  3. Step 3: Cross multiply
    304.43x = 483.97 × 483.97
  4. Step 4: Simplify right side
    304.43x = 234,225.10
  5. Step 5: Solve for x
    x = 234,225.10/304.43
  6. Step 6: Final answer
    x = 769.38

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.