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Finding the Third Proportional to 45,600 and 100,405

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Solution

The third proportional to 45,600 and 100,405 is: 221,078.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,600 : 100,405 = 100,405 : x
  2. Step 2: Convert to fraction form
    45,600/100,405 = 100,405/x
  3. Step 3: Cross multiply
    45,600x = 100,405 × 100,405
  4. Step 4: Simplify right side
    45,600x = 10,081,164,025
  5. Step 5: Solve for x
    x = 10,081,164,025/45,600
  6. Step 6: Final answer
    x = 221,078.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.