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Finding the Third Proportional to 46.78 and 66.80

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Solution

The third proportional to 46.78 and 66.80 is: 95.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.78 : 66.80 = 66.80 : x
  2. Step 2: Convert to fraction form
    46.78/66.80 = 66.80/x
  3. Step 3: Cross multiply
    46.78x = 66.80 × 66.80
  4. Step 4: Simplify right side
    46.78x = 4,461.82
  5. Step 5: Solve for x
    x = 4,461.82/46.78
  6. Step 6: Final answer
    x = 95.38

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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.