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Finding the Third Proportional to 35 and 71.88

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Solution

The third proportional to 35 and 71.88 is: 147.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    35 : 71.88 = 71.88 : x
  2. Step 2: Convert to fraction form
    35/71.88 = 71.88/x
  3. Step 3: Cross multiply
    35x = 71.88 × 71.88
  4. Step 4: Simplify right side
    35x = 5,166.02
  5. Step 5: Solve for x
    x = 5,166.02/35
  6. Step 6: Final answer
    x = 147.60

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.