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Finding the Third Proportional to 253.97 and 545.73

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Solution

The third proportional to 253.97 and 545.73 is: 1,172.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.97 : 545.73 = 545.73 : x
  2. Step 2: Convert to fraction form
    253.97/545.73 = 545.73/x
  3. Step 3: Cross multiply
    253.97x = 545.73 × 545.73
  4. Step 4: Simplify right side
    253.97x = 297,821.74
  5. Step 5: Solve for x
    x = 297,821.74/253.97
  6. Step 6: Final answer
    x = 1,172.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.