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Finding the Third Proportional to 45,905 and 100,235

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Solution

The third proportional to 45,905 and 100,235 is: 218,866.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,905 : 100,235 = 100,235 : x
  2. Step 2: Convert to fraction form
    45,905/100,235 = 100,235/x
  3. Step 3: Cross multiply
    45,905x = 100,235 × 100,235
  4. Step 4: Simplify right side
    45,905x = 10,047,055,225
  5. Step 5: Solve for x
    x = 10,047,055,225/45,905
  6. Step 6: Final answer
    x = 218,866.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.