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Finding the Third Proportional to 4,078 and 7,732

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Solution

The third proportional to 4,078 and 7,732 is: 14,660.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,078 : 7,732 = 7,732 : x
  2. Step 2: Convert to fraction form
    4,078/7,732 = 7,732/x
  3. Step 3: Cross multiply
    4,078x = 7,732 × 7,732
  4. Step 4: Simplify right side
    4,078x = 59,783,824
  5. Step 5: Solve for x
    x = 59,783,824/4,078
  6. Step 6: Final answer
    x = 14,660.08

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.