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Finding the Third Proportional to 19,642 and 40,436

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Solution

The third proportional to 19,642 and 40,436 is: 83,243.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,642 : 40,436 = 40,436 : x
  2. Step 2: Convert to fraction form
    19,642/40,436 = 40,436/x
  3. Step 3: Cross multiply
    19,642x = 40,436 × 40,436
  4. Step 4: Simplify right side
    19,642x = 1,635,070,096
  5. Step 5: Solve for x
    x = 1,635,070,096/19,642
  6. Step 6: Final answer
    x = 83,243.56

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.