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Finding the Third Proportional to 253.25 and 553.38

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Solution

The third proportional to 253.25 and 553.38 is: 1,209.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.25 : 553.38 = 553.38 : x
  2. Step 2: Convert to fraction form
    253.25/553.38 = 553.38/x
  3. Step 3: Cross multiply
    253.25x = 553.38 × 553.38
  4. Step 4: Simplify right side
    253.25x = 306,223.89
  5. Step 5: Solve for x
    x = 306,223.89/253.25
  6. Step 6: Final answer
    x = 1,209.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.