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Finding the Third Proportional to 20,564 and 45,169

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Solution

The third proportional to 20,564 and 45,169 is: 99,214.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,564 : 45,169 = 45,169 : x
  2. Step 2: Convert to fraction form
    20,564/45,169 = 45,169/x
  3. Step 3: Cross multiply
    20,564x = 45,169 × 45,169
  4. Step 4: Simplify right side
    20,564x = 2,040,238,561
  5. Step 5: Solve for x
    x = 2,040,238,561/20,564
  6. Step 6: Final answer
    x = 99,214.09

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.