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Finding the Third Proportional to 181.97 and 430.17

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Solution

The third proportional to 181.97 and 430.17 is: 1,016.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.97 : 430.17 = 430.17 : x
  2. Step 2: Convert to fraction form
    181.97/430.17 = 430.17/x
  3. Step 3: Cross multiply
    181.97x = 430.17 × 430.17
  4. Step 4: Simplify right side
    181.97x = 185,047.84
  5. Step 5: Solve for x
    x = 185,047.84/181.97
  6. Step 6: Final answer
    x = 1,016.92

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.