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Finding the Third Proportional to 21,142 and 44,642

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Solution

The third proportional to 21,142 and 44,642 is: 94,262.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,142 : 44,642 = 44,642 : x
  2. Step 2: Convert to fraction form
    21,142/44,642 = 44,642/x
  3. Step 3: Cross multiply
    21,142x = 44,642 × 44,642
  4. Step 4: Simplify right side
    21,142x = 1,992,908,164
  5. Step 5: Solve for x
    x = 1,992,908,164/21,142
  6. Step 6: Final answer
    x = 94,262.99

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.