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Finding the Third Proportional to 288.19 and 625.31

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Solution

The third proportional to 288.19 and 625.31 is: 1,356.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.19 : 625.31 = 625.31 : x
  2. Step 2: Convert to fraction form
    288.19/625.31 = 625.31/x
  3. Step 3: Cross multiply
    288.19x = 625.31 × 625.31
  4. Step 4: Simplify right side
    288.19x = 391,015.72
  5. Step 5: Solve for x
    x = 391,015.72/288.19
  6. Step 6: Final answer
    x = 1,356.81

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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.