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Finding the Third Proportional to 315.14 and 680.27

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Solution

The third proportional to 315.14 and 680.27 is: 1,468.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.14 : 680.27 = 680.27 : x
  2. Step 2: Convert to fraction form
    315.14/680.27 = 680.27/x
  3. Step 3: Cross multiply
    315.14x = 680.27 × 680.27
  4. Step 4: Simplify right side
    315.14x = 462,771.95
  5. Step 5: Solve for x
    x = 462,771.95/315.14
  6. Step 6: Final answer
    x = 1,468.46

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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.