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Finding the Third Proportional to 21,680 and 40,768

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Solution

The third proportional to 21,680 and 40,768 is: 76,661.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,680 : 40,768 = 40,768 : x
  2. Step 2: Convert to fraction form
    21,680/40,768 = 40,768/x
  3. Step 3: Cross multiply
    21,680x = 40,768 × 40,768
  4. Step 4: Simplify right side
    21,680x = 1,662,029,824
  5. Step 5: Solve for x
    x = 1,662,029,824/21,680
  6. Step 6: Final answer
    x = 76,661.89

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.