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Finding the Third Proportional to 134,685 and 206,739

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Solution

The third proportional to 134,685 and 206,739 is: 317,340.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,685 : 206,739 = 206,739 : x
  2. Step 2: Convert to fraction form
    134,685/206,739 = 206,739/x
  3. Step 3: Cross multiply
    134,685x = 206,739 × 206,739
  4. Step 4: Simplify right side
    134,685x = 42,741,014,121
  5. Step 5: Solve for x
    x = 42,741,014,121/134,685
  6. Step 6: Final answer
    x = 317,340.57

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.