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Finding the Third Proportional to 181.69 and 420.19

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Solution

The third proportional to 181.69 and 420.19 is: 971.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.69 : 420.19 = 420.19 : x
  2. Step 2: Convert to fraction form
    181.69/420.19 = 420.19/x
  3. Step 3: Cross multiply
    181.69x = 420.19 × 420.19
  4. Step 4: Simplify right side
    181.69x = 176,557.54
  5. Step 5: Solve for x
    x = 176,557.54/181.69
  6. Step 6: Final answer
    x = 971.76

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.