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Finding the Third Proportional to 18,561 and 39,711

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Solution

The third proportional to 18,561 and 39,711 is: 84,961.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,561 : 39,711 = 39,711 : x
  2. Step 2: Convert to fraction form
    18,561/39,711 = 39,711/x
  3. Step 3: Cross multiply
    18,561x = 39,711 × 39,711
  4. Step 4: Simplify right side
    18,561x = 1,576,963,521
  5. Step 5: Solve for x
    x = 1,576,963,521/18,561
  6. Step 6: Final answer
    x = 84,961.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.