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Finding the Third Proportional to 613.69 and 1,422.84

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Solution

The third proportional to 613.69 and 1,422.84 is: 3,298.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.69 : 1,422.84 = 1,422.84 : x
  2. Step 2: Convert to fraction form
    613.69/1,422.84 = 1,422.84/x
  3. Step 3: Cross multiply
    613.69x = 1,422.84 × 1,422.84
  4. Step 4: Simplify right side
    613.69x = 2,024,484.34
  5. Step 5: Solve for x
    x = 2,024,484.34/613.69
  6. Step 6: Final answer
    x = 3,298.88

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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.