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Finding the Third Proportional to 21,167 and 45,247

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Solution

The third proportional to 21,167 and 45,247 is: 96,720.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,167 : 45,247 = 45,247 : x
  2. Step 2: Convert to fraction form
    21,167/45,247 = 45,247/x
  3. Step 3: Cross multiply
    21,167x = 45,247 × 45,247
  4. Step 4: Simplify right side
    21,167x = 2,047,291,009
  5. Step 5: Solve for x
    x = 2,047,291,009/21,167
  6. Step 6: Final answer
    x = 96,720.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.