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Finding the Third Proportional to 288.94 and 479.56

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Solution

The third proportional to 288.94 and 479.56 is: 795.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.94 : 479.56 = 479.56 : x
  2. Step 2: Convert to fraction form
    288.94/479.56 = 479.56/x
  3. Step 3: Cross multiply
    288.94x = 479.56 × 479.56
  4. Step 4: Simplify right side
    288.94x = 229,980.19
  5. Step 5: Solve for x
    x = 229,980.19/288.94
  6. Step 6: Final answer
    x = 795.95

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.