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Finding the Third Proportional to 124.94 and 289.84

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Solution

The third proportional to 124.94 and 289.84 is: 672.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.94 : 289.84 = 289.84 : x
  2. Step 2: Convert to fraction form
    124.94/289.84 = 289.84/x
  3. Step 3: Cross multiply
    124.94x = 289.84 × 289.84
  4. Step 4: Simplify right side
    124.94x = 84,009.40
  5. Step 5: Solve for x
    x = 84,009.40/124.94
  6. Step 6: Final answer
    x = 672.41

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.