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Finding the Third Proportional to 378.84 and 586.97

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Solution

The third proportional to 378.84 and 586.97 is: 909.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.84 : 586.97 = 586.97 : x
  2. Step 2: Convert to fraction form
    378.84/586.97 = 586.97/x
  3. Step 3: Cross multiply
    378.84x = 586.97 × 586.97
  4. Step 4: Simplify right side
    378.84x = 344,532.31
  5. Step 5: Solve for x
    x = 344,532.31/378.84
  6. Step 6: Final answer
    x = 909.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.