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Finding the Third Proportional to 181.27 and 430.10

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Solution

The third proportional to 181.27 and 430.10 is: 1,020.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.27 : 430.10 = 430.10 : x
  2. Step 2: Convert to fraction form
    181.27/430.10 = 430.10/x
  3. Step 3: Cross multiply
    181.27x = 430.10 × 430.10
  4. Step 4: Simplify right side
    181.27x = 184,987.35
  5. Step 5: Solve for x
    x = 184,987.35/181.27
  6. Step 6: Final answer
    x = 1,020.53

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.