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Finding the Third Proportional to 556.81 and 867.44

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Solution

The third proportional to 556.81 and 867.44 is: 1,351.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.81 : 867.44 = 867.44 : x
  2. Step 2: Convert to fraction form
    556.81/867.44 = 867.44/x
  3. Step 3: Cross multiply
    556.81x = 867.44 × 867.44
  4. Step 4: Simplify right side
    556.81x = 752,447.82
  5. Step 5: Solve for x
    x = 752,447.82/556.81
  6. Step 6: Final answer
    x = 1,351.35

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.