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Finding the Third Proportional to 52.37 and 80.47

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Solution

The third proportional to 52.37 and 80.47 is: 123.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.37 : 80.47 = 80.47 : x
  2. Step 2: Convert to fraction form
    52.37/80.47 = 80.47/x
  3. Step 3: Cross multiply
    52.37x = 80.47 × 80.47
  4. Step 4: Simplify right side
    52.37x = 6,475.85
  5. Step 5: Solve for x
    x = 6,475.85/52.37
  6. Step 6: Final answer
    x = 123.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.