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Finding the Third Proportional to 35.48 and 76.40

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Solution

The third proportional to 35.48 and 76.40 is: 164.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.48 : 76.40 = 76.40 : x
  2. Step 2: Convert to fraction form
    35.48/76.40 = 76.40/x
  3. Step 3: Cross multiply
    35.48x = 76.40 × 76.40
  4. Step 4: Simplify right side
    35.48x = 5,836.29
  5. Step 5: Solve for x
    x = 5,836.29/35.48
  6. Step 6: Final answer
    x = 164.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.