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Finding the Third Proportional to 163.63 and 357.63

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Solution

The third proportional to 163.63 and 357.63 is: 781.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.63 : 357.63 = 357.63 : x
  2. Step 2: Convert to fraction form
    163.63/357.63 = 357.63/x
  3. Step 3: Cross multiply
    163.63x = 357.63 × 357.63
  4. Step 4: Simplify right side
    163.63x = 127,895.64
  5. Step 5: Solve for x
    x = 127,895.64/163.63
  6. Step 6: Final answer
    x = 781.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.