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Finding the Third Proportional to 134.84 and 289.16

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Solution

The third proportional to 134.84 and 289.16 is: 620.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.84 : 289.16 = 289.16 : x
  2. Step 2: Convert to fraction form
    134.84/289.16 = 289.16/x
  3. Step 3: Cross multiply
    134.84x = 289.16 × 289.16
  4. Step 4: Simplify right side
    134.84x = 83,611.34
  5. Step 5: Solve for x
    x = 83,611.34/134.84
  6. Step 6: Final answer
    x = 620.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.