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Finding the Third Proportional to 320.25 and 672.25

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Solution

The third proportional to 320.25 and 672.25 is: 1,411.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.25 : 672.25 = 672.25 : x
  2. Step 2: Convert to fraction form
    320.25/672.25 = 672.25/x
  3. Step 3: Cross multiply
    320.25x = 672.25 × 672.25
  4. Step 4: Simplify right side
    320.25x = 451,920.06
  5. Step 5: Solve for x
    x = 451,920.06/320.25
  6. Step 6: Final answer
    x = 1,411.15

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.