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Finding the Third Proportional to 378.84 and 901.55

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Solution

The third proportional to 378.84 and 901.55 is: 2,145.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.84 : 901.55 = 901.55 : x
  2. Step 2: Convert to fraction form
    378.84/901.55 = 901.55/x
  3. Step 3: Cross multiply
    378.84x = 901.55 × 901.55
  4. Step 4: Simplify right side
    378.84x = 812,786.77
  5. Step 5: Solve for x
    x = 812,786.77/378.84
  6. Step 6: Final answer
    x = 2,145.44

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.