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Finding the Third Proportional to 71.53 and 106.03

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Solution

The third proportional to 71.53 and 106.03 is: 157.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.53 : 106.03 = 106.03 : x
  2. Step 2: Convert to fraction form
    71.53/106.03 = 106.03/x
  3. Step 3: Cross multiply
    71.53x = 106.03 × 106.03
  4. Step 4: Simplify right side
    71.53x = 11,242.63
  5. Step 5: Solve for x
    x = 11,242.63/71.53
  6. Step 6: Final answer
    x = 157.17

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.