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Finding the Third Proportional to 19,644 and 40,422

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Solution

The third proportional to 19,644 and 40,422 is: 83,177.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,644 : 40,422 = 40,422 : x
  2. Step 2: Convert to fraction form
    19,644/40,422 = 40,422/x
  3. Step 3: Cross multiply
    19,644x = 40,422 × 40,422
  4. Step 4: Simplify right side
    19,644x = 1,633,938,084
  5. Step 5: Solve for x
    x = 1,633,938,084/19,644
  6. Step 6: Final answer
    x = 83,177.46

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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.