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Finding the Third Proportional to 137,306 and 206,661

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Solution

The third proportional to 137,306 and 206,661 is: 311,048.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,306 : 206,661 = 206,661 : x
  2. Step 2: Convert to fraction form
    137,306/206,661 = 206,661/x
  3. Step 3: Cross multiply
    137,306x = 206,661 × 206,661
  4. Step 4: Simplify right side
    137,306x = 42,708,768,921
  5. Step 5: Solve for x
    x = 42,708,768,921/137,306
  6. Step 6: Final answer
    x = 311,048.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.