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Finding the Third Proportional to 35 and 54.50

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Solution

The third proportional to 35 and 54.50 is: 84.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    35 : 54.50 = 54.50 : x
  2. Step 2: Convert to fraction form
    35/54.50 = 54.50/x
  3. Step 3: Cross multiply
    35x = 54.50 × 54.50
  4. Step 4: Simplify right side
    35x = 2,970.25
  5. Step 5: Solve for x
    x = 2,970.25/35
  6. Step 6: Final answer
    x = 84.86

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.