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Finding the Third Proportional to 19,561 and 40,032

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Solution

The third proportional to 19,561 and 40,032 is: 81,926.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,561 : 40,032 = 40,032 : x
  2. Step 2: Convert to fraction form
    19,561/40,032 = 40,032/x
  3. Step 3: Cross multiply
    19,561x = 40,032 × 40,032
  4. Step 4: Simplify right side
    19,561x = 1,602,561,024
  5. Step 5: Solve for x
    x = 1,602,561,024/19,561
  6. Step 6: Final answer
    x = 81,926.33

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.