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Finding the Third Proportional to 175.13 and 409.31

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Solution

The third proportional to 175.13 and 409.31 is: 956.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.13 : 409.31 = 409.31 : x
  2. Step 2: Convert to fraction form
    175.13/409.31 = 409.31/x
  3. Step 3: Cross multiply
    175.13x = 409.31 × 409.31
  4. Step 4: Simplify right side
    175.13x = 167,536.72
  5. Step 5: Solve for x
    x = 167,536.72/175.13
  6. Step 6: Final answer
    x = 956.67

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.