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Finding the Third Proportional to 315.14 and 475.56

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Solution

The third proportional to 315.14 and 475.56 is: 717.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.14 : 475.56 = 475.56 : x
  2. Step 2: Convert to fraction form
    315.14/475.56 = 475.56/x
  3. Step 3: Cross multiply
    315.14x = 475.56 × 475.56
  4. Step 4: Simplify right side
    315.14x = 226,155.98
  5. Step 5: Solve for x
    x = 226,155.98/315.14
  6. Step 6: Final answer
    x = 717.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.