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Finding the Third Proportional to 125.56 and 259.09

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Solution

The third proportional to 125.56 and 259.09 is: 534.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.56 : 259.09 = 259.09 : x
  2. Step 2: Convert to fraction form
    125.56/259.09 = 259.09/x
  3. Step 3: Cross multiply
    125.56x = 259.09 × 259.09
  4. Step 4: Simplify right side
    125.56x = 67,129.57
  5. Step 5: Solve for x
    x = 67,129.57/125.56
  6. Step 6: Final answer
    x = 534.63

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.