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Finding the Third Proportional to 15,902 and 21,909

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Solution

The third proportional to 15,902 and 21,909 is: 30,185.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,902 : 21,909 = 21,909 : x
  2. Step 2: Convert to fraction form
    15,902/21,909 = 21,909/x
  3. Step 3: Cross multiply
    15,902x = 21,909 × 21,909
  4. Step 4: Simplify right side
    15,902x = 480,004,281
  5. Step 5: Solve for x
    x = 480,004,281/15,902
  6. Step 6: Final answer
    x = 30,185.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.