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Finding the Third Proportional to 554.55 and 1,202.84

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Solution

The third proportional to 554.55 and 1,202.84 is: 2,608.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.55 : 1,202.84 = 1,202.84 : x
  2. Step 2: Convert to fraction form
    554.55/1,202.84 = 1,202.84/x
  3. Step 3: Cross multiply
    554.55x = 1,202.84 × 1,202.84
  4. Step 4: Simplify right side
    554.55x = 1,446,814.29
  5. Step 5: Solve for x
    x = 1,446,814.29/554.55
  6. Step 6: Final answer
    x = 2,608.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.