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Finding the Third Proportional to 181.63 and 354.13

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Solution

The third proportional to 181.63 and 354.13 is: 690.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.63 : 354.13 = 354.13 : x
  2. Step 2: Convert to fraction form
    181.63/354.13 = 354.13/x
  3. Step 3: Cross multiply
    181.63x = 354.13 × 354.13
  4. Step 4: Simplify right side
    181.63x = 125,404.52
  5. Step 5: Solve for x
    x = 125,404.52/181.63
  6. Step 6: Final answer
    x = 690.46

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.