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Finding the Third Proportional to 11,128 and 22,563

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Solution

The third proportional to 11,128 and 22,563 is: 45,748.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,128 : 22,563 = 22,563 : x
  2. Step 2: Convert to fraction form
    11,128/22,563 = 22,563/x
  3. Step 3: Cross multiply
    11,128x = 22,563 × 22,563
  4. Step 4: Simplify right side
    11,128x = 509,088,969
  5. Step 5: Solve for x
    x = 509,088,969/11,128
  6. Step 6: Final answer
    x = 45,748.47

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.