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Finding the Third Proportional to 72.14 and 154.93

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Solution

The third proportional to 72.14 and 154.93 is: 332.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.14 : 154.93 = 154.93 : x
  2. Step 2: Convert to fraction form
    72.14/154.93 = 154.93/x
  3. Step 3: Cross multiply
    72.14x = 154.93 × 154.93
  4. Step 4: Simplify right side
    72.14x = 24,004.42
  5. Step 5: Solve for x
    x = 24,004.42/72.14
  6. Step 6: Final answer
    x = 332.74

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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.