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Finding the Third Proportional to 125.99 and 272.79

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Solution

The third proportional to 125.99 and 272.79 is: 590.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.99 : 272.79 = 272.79 : x
  2. Step 2: Convert to fraction form
    125.99/272.79 = 272.79/x
  3. Step 3: Cross multiply
    125.99x = 272.79 × 272.79
  4. Step 4: Simplify right side
    125.99x = 74,416.56
  5. Step 5: Solve for x
    x = 74,416.56/125.99
  6. Step 6: Final answer
    x = 590.64

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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.