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Finding the Third Proportional to 25.73 and 45.07

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Solution

The third proportional to 25.73 and 45.07 is: 78.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.73 : 45.07 = 45.07 : x
  2. Step 2: Convert to fraction form
    25.73/45.07 = 45.07/x
  3. Step 3: Cross multiply
    25.73x = 45.07 × 45.07
  4. Step 4: Simplify right side
    25.73x = 2,031.33
  5. Step 5: Solve for x
    x = 2,031.33/25.73
  6. Step 6: Final answer
    x = 78.93

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Why These Related Problems?

These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.