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Finding the Third Proportional to 126,661 and 197,659

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Solution

The third proportional to 126,661 and 197,659 is: 308,453.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,661 : 197,659 = 197,659 : x
  2. Step 2: Convert to fraction form
    126,661/197,659 = 197,659/x
  3. Step 3: Cross multiply
    126,661x = 197,659 × 197,659
  4. Step 4: Simplify right side
    126,661x = 39,069,080,281
  5. Step 5: Solve for x
    x = 39,069,080,281/126,661
  6. Step 6: Final answer
    x = 308,453.91

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.