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Finding the Third Proportional to 320.81 and 838.88

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Solution

The third proportional to 320.81 and 838.88 is: 2,193.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.81 : 838.88 = 838.88 : x
  2. Step 2: Convert to fraction form
    320.81/838.88 = 838.88/x
  3. Step 3: Cross multiply
    320.81x = 838.88 × 838.88
  4. Step 4: Simplify right side
    320.81x = 703,711.27
  5. Step 5: Solve for x
    x = 703,711.27/320.81
  6. Step 6: Final answer
    x = 2,193.53

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Why These Related Problems?

These problems maintain the same ratio (2.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.