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Finding the Third Proportional to 134,812 and 209,310

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Solution

The third proportional to 134,812 and 209,310 is: 324,976.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,812 : 209,310 = 209,310 : x
  2. Step 2: Convert to fraction form
    134,812/209,310 = 209,310/x
  3. Step 3: Cross multiply
    134,812x = 209,310 × 209,310
  4. Step 4: Simplify right side
    134,812x = 43,810,676,100
  5. Step 5: Solve for x
    x = 43,810,676,100/134,812
  6. Step 6: Final answer
    x = 324,976.09

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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.