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Finding the Third Proportional to 272.25 and 530.44

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Solution

The third proportional to 272.25 and 530.44 is: 1,033.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.25 : 530.44 = 530.44 : x
  2. Step 2: Convert to fraction form
    272.25/530.44 = 530.44/x
  3. Step 3: Cross multiply
    272.25x = 530.44 × 530.44
  4. Step 4: Simplify right side
    272.25x = 281,363.94
  5. Step 5: Solve for x
    x = 281,363.94/272.25
  6. Step 6: Final answer
    x = 1,033.48

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.