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Finding the Third Proportional to 85.90 and 180.35

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Solution

The third proportional to 85.90 and 180.35 is: 378.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.90 : 180.35 = 180.35 : x
  2. Step 2: Convert to fraction form
    85.90/180.35 = 180.35/x
  3. Step 3: Cross multiply
    85.90x = 180.35 × 180.35
  4. Step 4: Simplify right side
    85.90x = 32,526.69
  5. Step 5: Solve for x
    x = 32,526.69/85.90
  6. Step 6: Final answer
    x = 378.64

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.