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Finding the Third Proportional to 10,554.75 and 22,321.13

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Solution

The third proportional to 10,554.75 and 22,321.13 is: 47,204.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,554.75 : 22,321.13 = 22,321.13 : x
  2. Step 2: Convert to fraction form
    10,554.75/22,321.13 = 22,321.13/x
  3. Step 3: Cross multiply
    10,554.75x = 22,321.13 × 22,321.13
  4. Step 4: Simplify right side
    10,554.75x = 498,232,621.27
  5. Step 5: Solve for x
    x = 498,232,621.27/10,554.75
  6. Step 6: Final answer
    x = 47,204.59

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.