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Finding the Third Proportional to 289.69 and 614.81

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Solution

The third proportional to 289.69 and 614.81 is: 1,304.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.69 : 614.81 = 614.81 : x
  2. Step 2: Convert to fraction form
    289.69/614.81 = 614.81/x
  3. Step 3: Cross multiply
    289.69x = 614.81 × 614.81
  4. Step 4: Simplify right side
    289.69x = 377,994.41
  5. Step 5: Solve for x
    x = 377,994.41/289.69
  6. Step 6: Final answer
    x = 1,304.84

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.