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Finding the Third Proportional to 134,720 and 209,172

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Solution

The third proportional to 134,720 and 209,172 is: 324,769.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,720 : 209,172 = 209,172 : x
  2. Step 2: Convert to fraction form
    134,720/209,172 = 209,172/x
  3. Step 3: Cross multiply
    134,720x = 209,172 × 209,172
  4. Step 4: Simplify right side
    134,720x = 43,752,925,584
  5. Step 5: Solve for x
    x = 43,752,925,584/134,720
  6. Step 6: Final answer
    x = 324,769.34

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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.