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Finding the Third Proportional to 85.48 and 181.20

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Solution

The third proportional to 85.48 and 181.20 is: 384.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.48 : 181.20 = 181.20 : x
  2. Step 2: Convert to fraction form
    85.48/181.20 = 181.20/x
  3. Step 3: Cross multiply
    85.48x = 181.20 × 181.20
  4. Step 4: Simplify right side
    85.48x = 32,831.74
  5. Step 5: Solve for x
    x = 32,831.74/85.48
  6. Step 6: Final answer
    x = 384.08

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.