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Finding the Third Proportional to 286.92 and 625.08

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Solution

The third proportional to 286.92 and 625.08 is: 1,361.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.92 : 625.08 = 625.08 : x
  2. Step 2: Convert to fraction form
    286.92/625.08 = 625.08/x
  3. Step 3: Cross multiply
    286.92x = 625.08 × 625.08
  4. Step 4: Simplify right side
    286.92x = 390,722.66
  5. Step 5: Solve for x
    x = 390,722.66/286.92
  6. Step 6: Final answer
    x = 1,361.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.