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Finding the Third Proportional to 8,539 and 19,760

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Solution

The third proportional to 8,539 and 19,760 is: 45,726.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,539 : 19,760 = 19,760 : x
  2. Step 2: Convert to fraction form
    8,539/19,760 = 19,760/x
  3. Step 3: Cross multiply
    8,539x = 19,760 × 19,760
  4. Step 4: Simplify right side
    8,539x = 390,457,600
  5. Step 5: Solve for x
    x = 390,457,600/8,539
  6. Step 6: Final answer
    x = 45,726.38

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.