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Finding the Third Proportional to 12,142 and 24,729

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Solution

The third proportional to 12,142 and 24,729 is: 50,364.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,142 : 24,729 = 24,729 : x
  2. Step 2: Convert to fraction form
    12,142/24,729 = 24,729/x
  3. Step 3: Cross multiply
    12,142x = 24,729 × 24,729
  4. Step 4: Simplify right side
    12,142x = 611,523,441
  5. Step 5: Solve for x
    x = 611,523,441/12,142
  6. Step 6: Final answer
    x = 50,364.31

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.