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Finding the Third Proportional to 12,820 and 18,932

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Solution

The third proportional to 12,820 and 18,932 is: 27,957.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,820 : 18,932 = 18,932 : x
  2. Step 2: Convert to fraction form
    12,820/18,932 = 18,932/x
  3. Step 3: Cross multiply
    12,820x = 18,932 × 18,932
  4. Step 4: Simplify right side
    12,820x = 358,420,624
  5. Step 5: Solve for x
    x = 358,420,624/12,820
  6. Step 6: Final answer
    x = 27,957.93

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.