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Finding the Third Proportional to 287.93 and 483.79

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Solution

The third proportional to 287.93 and 483.79 is: 812.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.93 : 483.79 = 483.79 : x
  2. Step 2: Convert to fraction form
    287.93/483.79 = 483.79/x
  3. Step 3: Cross multiply
    287.93x = 483.79 × 483.79
  4. Step 4: Simplify right side
    287.93x = 234,048.08
  5. Step 5: Solve for x
    x = 234,048.08/287.93
  6. Step 6: Final answer
    x = 812.87

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Why These Related Problems?

These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.