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Finding the Third Proportional to 25.59 and 45.09

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Solution

The third proportional to 25.59 and 45.09 is: 79.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.59 : 45.09 = 45.09 : x
  2. Step 2: Convert to fraction form
    25.59/45.09 = 45.09/x
  3. Step 3: Cross multiply
    25.59x = 45.09 × 45.09
  4. Step 4: Simplify right side
    25.59x = 2,033.45
  5. Step 5: Solve for x
    x = 2,033.45/25.59
  6. Step 6: Final answer
    x = 79.45

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.