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Finding the Third Proportional to 315.96 and 657.14

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Solution

The third proportional to 315.96 and 657.14 is: 1,366.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.96 : 657.14 = 657.14 : x
  2. Step 2: Convert to fraction form
    315.96/657.14 = 657.14/x
  3. Step 3: Cross multiply
    315.96x = 657.14 × 657.14
  4. Step 4: Simplify right side
    315.96x = 431,834.52
  5. Step 5: Solve for x
    x = 431,834.52/315.96
  6. Step 6: Final answer
    x = 1,366.75

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.