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Finding the Third Proportional to 45.61 and 65.38

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Solution

The third proportional to 45.61 and 65.38 is: 93.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.61 : 65.38 = 65.38 : x
  2. Step 2: Convert to fraction form
    45.61/65.38 = 65.38/x
  3. Step 3: Cross multiply
    45.61x = 65.38 × 65.38
  4. Step 4: Simplify right side
    45.61x = 4,274.54
  5. Step 5: Solve for x
    x = 4,274.54/45.61
  6. Step 6: Final answer
    x = 93.71

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.