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Finding the Third Proportional to 25.09 and 40.78

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Solution

The third proportional to 25.09 and 40.78 is: 66.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.09 : 40.78 = 40.78 : x
  2. Step 2: Convert to fraction form
    25.09/40.78 = 40.78/x
  3. Step 3: Cross multiply
    25.09x = 40.78 × 40.78
  4. Step 4: Simplify right side
    25.09x = 1,663.11
  5. Step 5: Solve for x
    x = 1,663.11/25.09
  6. Step 6: Final answer
    x = 66.28

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.