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Finding the Third Proportional to 554.23 and 1,279.84

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Solution

The third proportional to 554.23 and 1,279.84 is: 2,955.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.23 : 1,279.84 = 1,279.84 : x
  2. Step 2: Convert to fraction form
    554.23/1,279.84 = 1,279.84/x
  3. Step 3: Cross multiply
    554.23x = 1,279.84 × 1,279.84
  4. Step 4: Simplify right side
    554.23x = 1,637,999.40
  5. Step 5: Solve for x
    x = 1,637,999.40/554.23
  6. Step 6: Final answer
    x = 2,955.48

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.