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Finding the Third Proportional to 11,464.88 and 23,662.13

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Solution

The third proportional to 11,464.88 and 23,662.13 is: 48,835.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,464.88 : 23,662.13 = 23,662.13 : x
  2. Step 2: Convert to fraction form
    11,464.88/23,662.13 = 23,662.13/x
  3. Step 3: Cross multiply
    11,464.88x = 23,662.13 × 23,662.13
  4. Step 4: Simplify right side
    11,464.88x = 559,896,159.52
  5. Step 5: Solve for x
    x = 559,896,159.52/11,464.88
  6. Step 6: Final answer
    x = 48,835.78

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.