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Finding the Third Proportional to 459.21 and 999.42

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Solution

The third proportional to 459.21 and 999.42 is: 2,175.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.21 : 999.42 = 999.42 : x
  2. Step 2: Convert to fraction form
    459.21/999.42 = 999.42/x
  3. Step 3: Cross multiply
    459.21x = 999.42 × 999.42
  4. Step 4: Simplify right side
    459.21x = 998,844.08
  5. Step 5: Solve for x
    x = 998,844.08/459.21
  6. Step 6: Final answer
    x = 2,175.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.