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Finding the Third Proportional to 423.56 and 999.21

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Solution

The third proportional to 423.56 and 999.21 is: 2,357.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.56 : 999.21 = 999.21 : x
  2. Step 2: Convert to fraction form
    423.56/999.21 = 999.21/x
  3. Step 3: Cross multiply
    423.56x = 999.21 × 999.21
  4. Step 4: Simplify right side
    423.56x = 998,422.50
  5. Step 5: Solve for x
    x = 998,422.50/423.56
  6. Step 6: Final answer
    x = 2,357.20

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.