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Finding the Third Proportional to 451.25 and 1,000.25

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Solution

The third proportional to 451.25 and 1,000.25 is: 2,217.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.25 : 1,000.25 = 1,000.25 : x
  2. Step 2: Convert to fraction form
    451.25/1,000.25 = 1,000.25/x
  3. Step 3: Cross multiply
    451.25x = 1,000.25 × 1,000.25
  4. Step 4: Simplify right side
    451.25x = 1,000,500.06
  5. Step 5: Solve for x
    x = 1,000,500.06/451.25
  6. Step 6: Final answer
    x = 2,217.17

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.