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Finding the Third Proportional to 10,908.84 and 23,558.34

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Solution

The third proportional to 10,908.84 and 23,558.34 is: 50,875.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,908.84 : 23,558.34 = 23,558.34 : x
  2. Step 2: Convert to fraction form
    10,908.84/23,558.34 = 23,558.34/x
  3. Step 3: Cross multiply
    10,908.84x = 23,558.34 × 23,558.34
  4. Step 4: Simplify right side
    10,908.84x = 554,995,560.24
  5. Step 5: Solve for x
    x = 554,995,560.24/10,908.84
  6. Step 6: Final answer
    x = 50,875.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.