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Finding the Third Proportional to 423.35 and 905.55

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Solution

The third proportional to 423.35 and 905.55 is: 1,936.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.35 : 905.55 = 905.55 : x
  2. Step 2: Convert to fraction form
    423.35/905.55 = 905.55/x
  3. Step 3: Cross multiply
    423.35x = 905.55 × 905.55
  4. Step 4: Simplify right side
    423.35x = 820,029.29
  5. Step 5: Solve for x
    x = 820,029.29/423.35
  6. Step 6: Final answer
    x = 1,936.99

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.