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Finding the Third Proportional to 125.06 and 288.19

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Solution

The third proportional to 125.06 and 288.19 is: 664.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.06 : 288.19 = 288.19 : x
  2. Step 2: Convert to fraction form
    125.06/288.19 = 288.19/x
  3. Step 3: Cross multiply
    125.06x = 288.19 × 288.19
  4. Step 4: Simplify right side
    125.06x = 83,052.04
  5. Step 5: Solve for x
    x = 83,052.04/125.06
  6. Step 6: Final answer
    x = 664.08

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.