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Finding the Third Proportional to 35 and 66.50

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Solution

The third proportional to 35 and 66.50 is: 126.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    35 : 66.50 = 66.50 : x
  2. Step 2: Convert to fraction form
    35/66.50 = 66.50/x
  3. Step 3: Cross multiply
    35x = 66.50 × 66.50
  4. Step 4: Simplify right side
    35x = 4,422.25
  5. Step 5: Solve for x
    x = 4,422.25/35
  6. Step 6: Final answer
    x = 126.35

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.