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Finding the Third Proportional to 553.29 and 1,191.80

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Solution

The third proportional to 553.29 and 1,191.80 is: 2,567.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.29 : 1,191.80 = 1,191.80 : x
  2. Step 2: Convert to fraction form
    553.29/1,191.80 = 1,191.80/x
  3. Step 3: Cross multiply
    553.29x = 1,191.80 × 1,191.80
  4. Step 4: Simplify right side
    553.29x = 1,420,379.79
  5. Step 5: Solve for x
    x = 1,420,379.79/553.29
  6. Step 6: Final answer
    x = 2,567.16

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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.