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Finding the Third Proportional to 554.50 and 1,173.25

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Solution

The third proportional to 554.50 and 1,173.25 is: 2,482.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.50 : 1,173.25 = 1,173.25 : x
  2. Step 2: Convert to fraction form
    554.50/1,173.25 = 1,173.25/x
  3. Step 3: Cross multiply
    554.50x = 1,173.25 × 1,173.25
  4. Step 4: Simplify right side
    554.50x = 1,376,515.56
  5. Step 5: Solve for x
    x = 1,376,515.56/554.50
  6. Step 6: Final answer
    x = 2,482.44

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.