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Finding the Third Proportional to 77.47 and 120.45

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Solution

The third proportional to 77.47 and 120.45 is: 187.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.47 : 120.45 = 120.45 : x
  2. Step 2: Convert to fraction form
    77.47/120.45 = 120.45/x
  3. Step 3: Cross multiply
    77.47x = 120.45 × 120.45
  4. Step 4: Simplify right side
    77.47x = 14,507.07
  5. Step 5: Solve for x
    x = 14,507.07/77.47
  6. Step 6: Final answer
    x = 187.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.