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Finding the Third Proportional to 10,125 and 22,194

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Solution

The third proportional to 10,125 and 22,194 is: 48,649.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,125 : 22,194 = 22,194 : x
  2. Step 2: Convert to fraction form
    10,125/22,194 = 22,194/x
  3. Step 3: Cross multiply
    10,125x = 22,194 × 22,194
  4. Step 4: Simplify right side
    10,125x = 492,573,636
  5. Step 5: Solve for x
    x = 492,573,636/10,125
  6. Step 6: Final answer
    x = 48,649.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.