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Finding the Third Proportional to 10,254 and 22,081

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Solution

The third proportional to 10,254 and 22,081 is: 47,549.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,254 : 22,081 = 22,081 : x
  2. Step 2: Convert to fraction form
    10,254/22,081 = 22,081/x
  3. Step 3: Cross multiply
    10,254x = 22,081 × 22,081
  4. Step 4: Simplify right side
    10,254x = 487,570,561
  5. Step 5: Solve for x
    x = 487,570,561/10,254
  6. Step 6: Final answer
    x = 47,549.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.