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Finding the Third Proportional to 11,456 and 22,432

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Solution

The third proportional to 11,456 and 22,432 is: 43,924.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,456 : 22,432 = 22,432 : x
  2. Step 2: Convert to fraction form
    11,456/22,432 = 22,432/x
  3. Step 3: Cross multiply
    11,456x = 22,432 × 22,432
  4. Step 4: Simplify right side
    11,456x = 503,194,624
  5. Step 5: Solve for x
    x = 503,194,624/11,456
  6. Step 6: Final answer
    x = 43,924.11

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Why These Related Problems?

These problems maintain the same ratio (1.96) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.