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Finding the Third Proportional to 135,095 and 209,203

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Solution

The third proportional to 135,095 and 209,203 is: 323,963.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,095 : 209,203 = 209,203 : x
  2. Step 2: Convert to fraction form
    135,095/209,203 = 209,203/x
  3. Step 3: Cross multiply
    135,095x = 209,203 × 209,203
  4. Step 4: Simplify right side
    135,095x = 43,765,895,209
  5. Step 5: Solve for x
    x = 43,765,895,209/135,095
  6. Step 6: Final answer
    x = 323,963.84

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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.