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Finding the Third Proportional to 25.66 and 56.29

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Solution

The third proportional to 25.66 and 56.29 is: 123.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.66 : 56.29 = 56.29 : x
  2. Step 2: Convert to fraction form
    25.66/56.29 = 56.29/x
  3. Step 3: Cross multiply
    25.66x = 56.29 × 56.29
  4. Step 4: Simplify right side
    25.66x = 3,169.01
  5. Step 5: Solve for x
    x = 3,169.01/25.66
  6. Step 6: Final answer
    x = 123.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.