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Finding the Third Proportional to 103,905 and 161,203

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Solution

The third proportional to 103,905 and 161,203 is: 250,097.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,905 : 161,203 = 161,203 : x
  2. Step 2: Convert to fraction form
    103,905/161,203 = 161,203/x
  3. Step 3: Cross multiply
    103,905x = 161,203 × 161,203
  4. Step 4: Simplify right side
    103,905x = 25,986,407,209
  5. Step 5: Solve for x
    x = 25,986,407,209/103,905
  6. Step 6: Final answer
    x = 250,097.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.