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Finding the Third Proportional to 309.45 and 672.36

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Solution

The third proportional to 309.45 and 672.36 is: 1,460.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.45 : 672.36 = 672.36 : x
  2. Step 2: Convert to fraction form
    309.45/672.36 = 672.36/x
  3. Step 3: Cross multiply
    309.45x = 672.36 × 672.36
  4. Step 4: Simplify right side
    309.45x = 452,072.38
  5. Step 5: Solve for x
    x = 452,072.38/309.45
  6. Step 6: Final answer
    x = 1,460.91

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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.