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Finding the Third Proportional to 10,440.75 and 21,393.75

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Solution

The third proportional to 10,440.75 and 21,393.75 is: 43,837.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,440.75 : 21,393.75 = 21,393.75 : x
  2. Step 2: Convert to fraction form
    10,440.75/21,393.75 = 21,393.75/x
  3. Step 3: Cross multiply
    10,440.75x = 21,393.75 × 21,393.75
  4. Step 4: Simplify right side
    10,440.75x = 457,692,539.06
  5. Step 5: Solve for x
    x = 457,692,539.06/10,440.75
  6. Step 6: Final answer
    x = 43,837.13

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.