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Finding the Third Proportional to 438.25 and 672.38

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Solution

The third proportional to 438.25 and 672.38 is: 1,031.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.25 : 672.38 = 672.38 : x
  2. Step 2: Convert to fraction form
    438.25/672.38 = 672.38/x
  3. Step 3: Cross multiply
    438.25x = 672.38 × 672.38
  4. Step 4: Simplify right side
    438.25x = 452,088.14
  5. Step 5: Solve for x
    x = 452,088.14/438.25
  6. Step 6: Final answer
    x = 1,031.58

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.