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Finding the Third Proportional to 120.94 and 284.63

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Solution

The third proportional to 120.94 and 284.63 is: 669.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.94 : 284.63 = 284.63 : x
  2. Step 2: Convert to fraction form
    120.94/284.63 = 284.63/x
  3. Step 3: Cross multiply
    120.94x = 284.63 × 284.63
  4. Step 4: Simplify right side
    120.94x = 81,011.39
  5. Step 5: Solve for x
    x = 81,011.39/120.94
  6. Step 6: Final answer
    x = 669.86

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.