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Finding the Third Proportional to 154.08 and 332.86

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Solution

The third proportional to 154.08 and 332.86 is: 719.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.08 : 332.86 = 332.86 : x
  2. Step 2: Convert to fraction form
    154.08/332.86 = 332.86/x
  3. Step 3: Cross multiply
    154.08x = 332.86 × 332.86
  4. Step 4: Simplify right side
    154.08x = 110,795.36
  5. Step 5: Solve for x
    x = 110,795.36/154.08
  6. Step 6: Final answer
    x = 719.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.