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Finding the Third Proportional to 46.41 and 72.80

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Solution

The third proportional to 46.41 and 72.80 is: 114.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.41 : 72.80 = 72.80 : x
  2. Step 2: Convert to fraction form
    46.41/72.80 = 72.80/x
  3. Step 3: Cross multiply
    46.41x = 72.80 × 72.80
  4. Step 4: Simplify right side
    46.41x = 5,299.39
  5. Step 5: Solve for x
    x = 5,299.39/46.41
  6. Step 6: Final answer
    x = 114.20

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.