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Finding the Third Proportional to 312.40 and 475.35

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Solution

The third proportional to 312.40 and 475.35 is: 723.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.40 : 475.35 = 475.35 : x
  2. Step 2: Convert to fraction form
    312.40/475.35 = 475.35/x
  3. Step 3: Cross multiply
    312.40x = 475.35 × 475.35
  4. Step 4: Simplify right side
    312.40x = 225,955.39
  5. Step 5: Solve for x
    x = 225,955.39/312.40
  6. Step 6: Final answer
    x = 723.29

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.