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Finding the Third Proportional to 553.92 and 1,164.80

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Solution

The third proportional to 553.92 and 1,164.80 is: 2,449.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.92 : 1,164.80 = 1,164.80 : x
  2. Step 2: Convert to fraction form
    553.92/1,164.80 = 1,164.80/x
  3. Step 3: Cross multiply
    553.92x = 1,164.80 × 1,164.80
  4. Step 4: Simplify right side
    553.92x = 1,356,751.76
  5. Step 5: Solve for x
    x = 1,356,751.76/553.92
  6. Step 6: Final answer
    x = 2,449.36

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.