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Finding the Third Proportional to 277.65 and 423.83

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Solution

The third proportional to 277.65 and 423.83 is: 646.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.65 : 423.83 = 423.83 : x
  2. Step 2: Convert to fraction form
    277.65/423.83 = 423.83/x
  3. Step 3: Cross multiply
    277.65x = 423.83 × 423.83
  4. Step 4: Simplify right side
    277.65x = 179,628.62
  5. Step 5: Solve for x
    x = 179,628.62/277.65
  6. Step 6: Final answer
    x = 646.97

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.