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Finding the Third Proportional to 304.70 and 654.96

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Solution

The third proportional to 304.70 and 654.96 is: 1,407.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.70 : 654.96 = 654.96 : x
  2. Step 2: Convert to fraction form
    304.70/654.96 = 654.96/x
  3. Step 3: Cross multiply
    304.70x = 654.96 × 654.96
  4. Step 4: Simplify right side
    304.70x = 428,973.83
  5. Step 5: Solve for x
    x = 428,973.83/304.70
  6. Step 6: Final answer
    x = 1,407.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.