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Finding the Third Proportional to 34.50 and 85.63

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Solution

The third proportional to 34.50 and 85.63 is: 212.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.50 : 85.63 = 85.63 : x
  2. Step 2: Convert to fraction form
    34.50/85.63 = 85.63/x
  3. Step 3: Cross multiply
    34.50x = 85.63 × 85.63
  4. Step 4: Simplify right side
    34.50x = 7,331.64
  5. Step 5: Solve for x
    x = 7,331.64/34.50
  6. Step 6: Final answer
    x = 212.51

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Why These Related Problems?

These problems maintain the same ratio (2.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.