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Finding the Third Proportional to 622.42 and 1,346.94

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Solution

The third proportional to 622.42 and 1,346.94 is: 2,914.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.42 : 1,346.94 = 1,346.94 : x
  2. Step 2: Convert to fraction form
    622.42/1,346.94 = 1,346.94/x
  3. Step 3: Cross multiply
    622.42x = 1,346.94 × 1,346.94
  4. Step 4: Simplify right side
    622.42x = 1,814,251.15
  5. Step 5: Solve for x
    x = 1,814,251.15/622.42
  6. Step 6: Final answer
    x = 2,914.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.