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Finding the Third Proportional to 35.24 and 74.40

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Solution

The third proportional to 35.24 and 74.40 is: 157.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.24 : 74.40 = 74.40 : x
  2. Step 2: Convert to fraction form
    35.24/74.40 = 74.40/x
  3. Step 3: Cross multiply
    35.24x = 74.40 × 74.40
  4. Step 4: Simplify right side
    35.24x = 5,534.62
  5. Step 5: Solve for x
    x = 5,534.62/35.24
  6. Step 6: Final answer
    x = 157.06

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.