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Finding the Third Proportional to 20,142 and 43,368

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Solution

The third proportional to 20,142 and 43,368 is: 93,376.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,142 : 43,368 = 43,368 : x
  2. Step 2: Convert to fraction form
    20,142/43,368 = 43,368/x
  3. Step 3: Cross multiply
    20,142x = 43,368 × 43,368
  4. Step 4: Simplify right side
    20,142x = 1,880,783,424
  5. Step 5: Solve for x
    x = 1,880,783,424/20,142
  6. Step 6: Final answer
    x = 93,376.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.