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Finding the Third Proportional to 315.46 and 472.71

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Solution

The third proportional to 315.46 and 472.71 is: 708.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.46 : 472.71 = 472.71 : x
  2. Step 2: Convert to fraction form
    315.46/472.71 = 472.71/x
  3. Step 3: Cross multiply
    315.46x = 472.71 × 472.71
  4. Step 4: Simplify right side
    315.46x = 223,455.63
  5. Step 5: Solve for x
    x = 223,455.63/315.46
  6. Step 6: Final answer
    x = 708.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.