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Finding the Third Proportional to 15,539 and 21,967

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Solution

The third proportional to 15,539 and 21,967 is: 31,054.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,539 : 21,967 = 21,967 : x
  2. Step 2: Convert to fraction form
    15,539/21,967 = 21,967/x
  3. Step 3: Cross multiply
    15,539x = 21,967 × 21,967
  4. Step 4: Simplify right side
    15,539x = 482,549,089
  5. Step 5: Solve for x
    x = 482,549,089/15,539
  6. Step 6: Final answer
    x = 31,054.06

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.