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Finding the Third Proportional to 154.86 and 220.19

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Solution

The third proportional to 154.86 and 220.19 is: 313.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.86 : 220.19 = 220.19 : x
  2. Step 2: Convert to fraction form
    154.86/220.19 = 220.19/x
  3. Step 3: Cross multiply
    154.86x = 220.19 × 220.19
  4. Step 4: Simplify right side
    154.86x = 48,483.23
  5. Step 5: Solve for x
    x = 48,483.23/154.86
  6. Step 6: Final answer
    x = 313.08

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.