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Finding the Third Proportional to 11,289 and 22,621.50

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Solution

The third proportional to 11,289 and 22,621.50 is: 45,330.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,289 : 22,621.50 = 22,621.50 : x
  2. Step 2: Convert to fraction form
    11,289/22,621.50 = 22,621.50/x
  3. Step 3: Cross multiply
    11,289x = 22,621.50 × 22,621.50
  4. Step 4: Simplify right side
    11,289x = 511,732,262.25
  5. Step 5: Solve for x
    x = 511,732,262.25/11,289
  6. Step 6: Final answer
    x = 45,330.17

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.