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Finding the Third Proportional to 46.88 and 68.88

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Solution

The third proportional to 46.88 and 68.88 is: 101.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.88 : 68.88 = 68.88 : x
  2. Step 2: Convert to fraction form
    46.88/68.88 = 68.88/x
  3. Step 3: Cross multiply
    46.88x = 68.88 × 68.88
  4. Step 4: Simplify right side
    46.88x = 4,743.77
  5. Step 5: Solve for x
    x = 4,743.77/46.88
  6. Step 6: Final answer
    x = 101.20

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.