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Finding the Third Proportional to 269.11 and 549.63

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Solution

The third proportional to 269.11 and 549.63 is: 1,122.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.11 : 549.63 = 549.63 : x
  2. Step 2: Convert to fraction form
    269.11/549.63 = 549.63/x
  3. Step 3: Cross multiply
    269.11x = 549.63 × 549.63
  4. Step 4: Simplify right side
    269.11x = 302,096.23
  5. Step 5: Solve for x
    x = 302,096.23/269.11
  6. Step 6: Final answer
    x = 1,122.58

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.