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Finding the Third Proportional to 181.20 and 390.87

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Solution

The third proportional to 181.20 and 390.87 is: 843.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.20 : 390.87 = 390.87 : x
  2. Step 2: Convert to fraction form
    181.20/390.87 = 390.87/x
  3. Step 3: Cross multiply
    181.20x = 390.87 × 390.87
  4. Step 4: Simplify right side
    181.20x = 152,777.16
  5. Step 5: Solve for x
    x = 152,777.16/181.20
  6. Step 6: Final answer
    x = 843.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.