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Finding the Third Proportional to 10,158 and 21,425

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Solution

The third proportional to 10,158 and 21,425 is: 45,189.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,158 : 21,425 = 21,425 : x
  2. Step 2: Convert to fraction form
    10,158/21,425 = 21,425/x
  3. Step 3: Cross multiply
    10,158x = 21,425 × 21,425
  4. Step 4: Simplify right side
    10,158x = 459,030,625
  5. Step 5: Solve for x
    x = 459,030,625/10,158
  6. Step 6: Final answer
    x = 45,189.08

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.