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Finding the Third Proportional to 315.47 and 680.44

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Solution

The third proportional to 315.47 and 680.44 is: 1,467.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.47 : 680.44 = 680.44 : x
  2. Step 2: Convert to fraction form
    315.47/680.44 = 680.44/x
  3. Step 3: Cross multiply
    315.47x = 680.44 × 680.44
  4. Step 4: Simplify right side
    315.47x = 462,995.19
  5. Step 5: Solve for x
    x = 462,995.19/315.47
  6. Step 6: Final answer
    x = 1,467.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.