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Finding the Third Proportional to 161.63 and 247.91

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Solution

The third proportional to 161.63 and 247.91 is: 380.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.63 : 247.91 = 247.91 : x
  2. Step 2: Convert to fraction form
    161.63/247.91 = 247.91/x
  3. Step 3: Cross multiply
    161.63x = 247.91 × 247.91
  4. Step 4: Simplify right side
    161.63x = 61,457.51
  5. Step 5: Solve for x
    x = 61,457.51/161.63
  6. Step 6: Final answer
    x = 380.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.